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100122102222102 = 23341149303505157
BaseRepresentation
bin10110110000111101111110…
…010101100100110100010110
3111010111120122110012002101000
4112300331332111210310112
5101110400031132101402
6552535243033044130
730042404012665122
oct2660757625446426
9433446573162330
10100122102222102
11299a15aa587934
12b290401556646
1343b3620a186cc
141aa1d15422582
15b896140cac1c
hex5b0f7e564d16

100122102222102 has 64 divisors (see below), whose sum is σ = 229449899448000. Its totient is φ = 32341509423360.

The previous prime is 100122102222091. The next prime is 100122102222113. The reversal of 100122102222102 is 201222201221001.

It is a happy number.

100122102222102 is a `hidden beast` number, since 10 + 0 + 1 + 221 + 0 + 222 + 210 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (100122102222091) and next prime (100122102222113).

It is a super-2 number, since 2×1001221022221022 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 151422693 + ... + 152082464.

It is an arithmetic number, because the mean of its divisors is an integer number (3585154678875).

Almost surely, 2100122102222102 is an apocalyptic number.

100122102222102 is an abundant number, since it is smaller than the sum of its proper divisors (129327797225898).

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

100122102222102 is a wasteful number, since it uses less digits than its factorization.

100122102222102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303505358 (or 303505352 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 100122102222102 its reverse (201222201221001), we get a palindrome (301344303443103).

The spelling of 100122102222102 in words is "one hundred trillion, one hundred twenty-two billion, one hundred two million, two hundred twenty-two thousand, one hundred two".

Divisors: 1 2 3 6 9 18 27 41 54 82 123 149 246 298 369 447 738 894 1107 1341 2214 2682 4023 6109 8046 12218 18327 36654 54981 109962 164943 329886 303505157 607010314 910515471 1821030942 2731546413 5463092826 8194639239 12443711437 16389278478 24887422874 37331134311 45222268393 74662268622 90444536786 111993402933 135666805179 223986805866 271333610358 335980208799 407000415537 671960417598 814000831074 1221001246611 1854113004113 2442002493222 3708226008226 5562339012339 11124678024678 16687017037017 33374034074034 50061051111051 100122102222102