102200111101121 has 16 divisors (see below), whose sum is σ = 111512732149440. Its totient is φ = 92891108617920.

The previous prime is 102200111101117. The next prime is 102200111101163. The reversal of 102200111101121 is 121101111002201.

It is a cyclic number.

It is not a de Polignac number, because 102200111101121 - 2² = 102200111101117 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102200111101096 and 102200111101105.

It is not an unprimeable number, because it can be changed into a prime (102200111101421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2538923831 + ... + 2538964083.

It is an arithmetic number, because the mean of its divisors is an integer number (6969545759340).

Almost surely, 2^{102200111101121} is an apocalyptic number.

102200111101121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102200111101121 is a deficient number, since it is larger than the sum of its proper divisors (9312621048319).

102200111101121 is a wasteful number, since it uses less digits than its factorization.

102200111101121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79456.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 102200111101121 its reverse (121101111002201), we get a palindrome (223301222103322).

The spelling of 102200111101121 in words is "one hundred two trillion, two hundred billion, one hundred eleven million, one hundred one thousand, one hundred twenty-one".