102200102121110 has 128 divisors (see below), whose sum is σ = 213386659200000. Its totient is φ = 34519837920768.

The previous prime is 102200102121101. The next prime is 102200102121197. The reversal of 102200102121110 is 11121201002201.

It is a super-2 number, since 2×102200102121110² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

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, 1024132637 + ... + 1024232423.

It is an arithmetic number, because the mean of its divisors is an integer number (1667083275000).

Almost surely, 2^{102200102121110} is an apocalyptic number.

102200102121110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102200102121110 is an abundant number, since it is smaller than the sum of its proper divisors (111186557078890).

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

102200102121110 is a wasteful number, since it uses less digits than its factorization.

102200102121110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100678.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 102200102121110 its reverse (11121201002201), we get a palindrome (113321303123311).

The spelling of 102200102121110 in words is "one hundred two trillion, two hundred billion, one hundred two million, one hundred twenty-one thousand, one hundred ten".