102103211122100 has 72 divisors (see below), whose sum is σ = 224938559677440. Its totient is φ = 40223934616320.

The previous prime is 102103211122061. The next prime is 102103211122139. The reversal of 102103211122100 is 1221112301201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (102103211122061) and next prime (102103211122139).

It is a super-2 number, since 2×102103211122100² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 27601790 + ... + 31081589.

Almost surely, 2^{102103211122100} is an apocalyptic number.

102103211122100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102103211122100 is an abundant number, since it is smaller than the sum of its proper divisors (122835348555340).

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

102103211122100 is a wasteful number, since it uses less digits than its factorization.

102103211122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58683657 (or 58683650 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 102103211122100 its reverse (1221112301201), we get a palindrome (103324323423301).

The spelling of 102103211122100 in words is "one hundred two trillion, one hundred three billion, two hundred eleven million, one hundred twenty-two thousand, one hundred".