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102122011200121 = 11199117139839759
BaseRepresentation
bin10111001110000100100010…
…001100111000101001111001
3111101120202202112202112122121
4113032010202030320221321
5101341131334331400441
61001110112043121241
730340033431553033
oct2716044214705171
9441522675675577
10102122011200121
112a5a277a009540
12b553b1ab13221
1344ca0ab460903
141b30a35b7ac53
15bc16640c8dd1
hex5ce122338a79

102122011200121 has 16 divisors (see below), whose sum is σ = 112061276928000. Its totient is φ = 92292783382800.

The previous prime is 102122011200113. The next prime is 102122011200127. The reversal of 102122011200121 is 121002110221201.

It is not a de Polignac number, because 102122011200121 - 23 = 102122011200113 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102122011200095 and 102122011200104.

It is not an unprimeable number, because it can be changed into a prime (102122011200127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17356561 + ... + 22483198.

It is an arithmetic number, because the mean of its divisors is an integer number (7003829808000).

Almost surely, 2102122011200121 is an apocalyptic number.

102122011200121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102122011200121 is a deficient number, since it is larger than the sum of its proper divisors (9939265727879).

102122011200121 is a wasteful number, since it uses less digits than its factorization.

102122011200121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39841140.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 102122011200121 its reverse (121002110221201), we get a palindrome (223124121421322).

The spelling of 102122011200121 in words is "one hundred two trillion, one hundred twenty-two billion, eleven million, two hundred thousand, one hundred twenty-one".

Divisors: 1 11 199 1171 2189 12881 233029 2563319 39839759 438237349 7928112041 46652357789 87209232451 513175935679 9283819200011 102122011200121