10102111022100 has 72 divisors (see below), whose sum is σ = 30171638280448. Its totient is φ = 2606996390400.

The previous prime is 10102111022099. The next prime is 10102111022137. The reversal of 10102111022100 is 122011120101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 543114949 + ... + 543133548.

Almost surely, 2^{10102111022100} is an apocalyptic number.

10102111022100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10102111022100 is an abundant number, since it is smaller than the sum of its proper divisors (20069527258348).

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

10102111022100 is a wasteful number, since it uses less digits than its factorization.

10102111022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1086248545 (or 1086248538 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10102111022100 its reverse (122011120101), we get a palindrome (10224122142201).

The spelling of 10102111022100 in words is "ten trillion, one hundred two billion, one hundred eleven million, twenty-two thousand, one hundred".