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122100010002201 = 371131173160761331
BaseRepresentation
bin11011110000110010011111…
…101110010010011100011001
3121000022122110122002101121010
4123300302133232102130121
5112000441310030032301
61111403545323204133
734501302033526530
oct3360623756223431
9530278418071533
10122100010002201
11359a5361561980
121183b972376649
135318c9b59332a
14222195a025317
15e1b17c6965d6
hex6f0c9fb92719

122100010002201 has 128 divisors (see below), whose sum is σ = 210864573775872. Its totient is φ = 60988710816000.

The previous prime is 122100010002199. The next prime is 122100010002203. The reversal of 122100010002201 is 102200010001221.

It is an interprime number because it is at equal distance from previous prime (122100010002199) and next prime (122100010002203).

It is not a de Polignac number, because 122100010002201 - 21 = 122100010002199 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122100010002203) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1990806106 + ... + 1990867436.

It is an arithmetic number, because the mean of its divisors is an integer number (1647379482624).

Almost surely, 2122100010002201 is an apocalyptic number.

122100010002201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122100010002201 is a deficient number, since it is larger than the sum of its proper divisors (88764563773671).

122100010002201 is a wasteful number, since it uses less digits than its factorization.

122100010002201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63163.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 122100010002201 its reverse (102200010001221), we get a palindrome (224300020003422).

The spelling of 122100010002201 in words is "one hundred twenty-two trillion, one hundred billion, ten million, two thousand, two hundred one".

Divisors: 1 3 7 11 21 31 33 77 93 173 217 231 341 519 651 1023 1211 1607 1903 2387 3633 4821 5363 5709 7161 11249 13321 16089 17677 33747 37541 39963 49817 53031 58993 61331 112623 123739 149451 176979 183993 278011 348719 371217 412951 429317 547987 674641 834033 1046157 1238853 1287951 1643961 1901261 1946077 2023923 3058121 3835909 4722487 5703783 5838231 8618341 9174363 10610263 11507727 13308827 14167461 20913871 21406847 25855023 31830789 39926481 60328387 62741613 64220541 74271841 94801751 98558917 116712893 146397097 180985161 222815523 284405253 295676751 328918153 350138679 439191291 663612257 689912419 816990251 986754459 1084148087 1990836771 2069737257 2302427071 2450970753 3055326427 3252444261 3618099683 6907281213 7589036609 9165979281 10854299049 17050692641 21387284989 22767109827 25326697781 33608590697 51152077923 64161854967 75980093343 100825772091 119354848487 187557619051 235260134879 358064545461 528571471871 562672857153 705780404637 1312903333357 1585714415613 3700000303097 3938710000071 5814286190581 11100000909291 17442858571743 40700003334067 122100010002201