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101102022021102 = 23235989457305297
BaseRepresentation
bin10110111111001110100110…
…000110111100111111101110
3111020222020222202011121111220
4112333032212012330333232
5101222423420114133402
6555005343331124210
730203244232566114
oct2677164606747756
9436866882147456
10101102022021102
112a23a143785593
12b40a2ba743666
134454b58b088bb
141ad7514a67ab4
15ba4d67a32dbc
hex5bf3a61bcfee

101102022021102 has 128 divisors (see below), whose sum is σ = 217458147916800. Its totient is φ = 31264342450176.

The previous prime is 101102022021101. The next prime is 101102022021107. The reversal of 101102022021102 is 201120220201101.

It is a super-3 number, since 3×1011020220211023 (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101102022021101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 331006918 + ... + 331312214.

It is an arithmetic number, because the mean of its divisors is an integer number (1698891780600).

Almost surely, 2101102022021102 is an apocalyptic number.

101102022021102 is an abundant number, since it is smaller than the sum of its proper divisors (116356125895698).

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

101102022021102 is a wasteful number, since it uses less digits than its factorization.

101102022021102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305930.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 101102022021102 its reverse (201120220201101), we get a palindrome (302222242222203).

The spelling of 101102022021102 in words is "one hundred one trillion, one hundred two billion, twenty-two million, twenty-one thousand, one hundred two".

Divisors: 1 2 3 6 23 46 59 69 89 118 138 177 178 267 354 457 534 914 1357 1371 2047 2714 2742 4071 4094 5251 6141 8142 10502 10511 12282 15753 21022 26963 31506 31533 40673 53926 63066 80889 81346 120773 122019 161778 241546 244038 305297 362319 610594 620149 724638 915891 935479 1240298 1831782 1860447 1870958 2399707 2806437 3720894 4799414 5612874 7021831 7199121 14043662 14398242 18012523 21065493 27171433 36025046 42130986 54037569 54342866 55193261 81514299 108075138 110386522 139520729 163028598 165579783 279041458 331159566 414288029 418562187 624942959 828576058 837124374 1242864087 1249885918 1603114547 1874828877 2485728174 3206229094 3208976767 3749657754 4809343641 6417953534 8231723011 9618687282 9626930301 12417344881 16463446022 19253860602 24695169033 24834689762 36871634581 37252034643 49390338066 73743269162 74504069286 110614903743 189329629253 221229807486 285598932263 378659258506 567988887759 571197864526 732623347979 856796796789 1135977775518 1465246695958 1713593593578 2197870043937 4395740087874 16850337003517 33700674007034 50551011010551 101102022021102