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122101022010 = 2351110128113037
BaseRepresentation
bin111000110110111001…
…0011011110100111010
3102200011102121120212110
41301231302123310322
54000030330201020
6132031544353150
711551530364002
oct1615562336472
9380142546773
10122101022010
1147867931050
121b7b74757b6
13b68b572466
145ca43bb002
1532996708e0
hex1c6dc9bd3a

122101022010 has 128 divisors (see below), whose sum is σ = 324021627648. Its totient is φ = 29200640000.

The previous prime is 122101022009. The next prime is 122101022023. The reversal of 122101022010 is 10220101221.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9359212 + ... + 9372248.

It is an arithmetic number, because the mean of its divisors is an integer number (2531418966).

Almost surely, 2122101022010 is an apocalyptic number.

122101022010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 122101022010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162010813824).

122101022010 is an abundant number, since it is smaller than the sum of its proper divisors (201920605638).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122101022010 is a wasteful number, since it uses less digits than its factorization.

122101022010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13440.

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

Adding to 122101022010 its reverse (10220101221), we get a palindrome (132321123231).

The spelling of 122101022010 in words is "one hundred twenty-two billion, one hundred one million, twenty-two thousand, ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 101 110 165 202 281 303 330 505 562 606 843 1010 1111 1405 1515 1686 2222 2810 3030 3091 3333 4215 5555 6182 6666 8430 9273 11110 13037 15455 16665 18546 26074 28381 30910 33330 39111 46365 56762 65185 78222 85143 92730 130370 141905 143407 170286 195555 283810 286814 312191 391110 425715 430221 624382 717035 851430 860442 936573 1316737 1434070 1560955 1873146 2151105 2633474 3121910 3663397 3950211 4302210 4682865 6583685 7326794 7900422 9365730 10990191 13167370 14484107 18316985 19751055 21980382 28968214 36633970 39502110 40297367 43452321 54950955 72420535 80594734 86904642 109901910 120892101 144841070 201486835 217261605 241784202 370003097 402973670 434523210 604460505 740006194 1110009291 1208921010 1850015485 2220018582 3700030970 4070034067 5550046455 8140068134 11100092910 12210102201 20350170335 24420204402 40700340670 61050511005 122101022010