102111023444100 has 144 divisors (see below), whose sum is σ = 322322402920896. Its totient is φ = 24752430080000.

The previous prime is 102111023444071. The next prime is 102111023444141. The reversal of 102111023444100 is 1444320111201.

It is a happy number.

It is a super-2 number, since 2×102111023444100² (a number of 29 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 45692800 + ... + 47875400.

It is an arithmetic number, because the mean of its divisors is an integer number (2238350020284).

Almost surely, 2^{102111023444100} is an apocalyptic number.

102111023444100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102111023444100 is an abundant number, since it is smaller than the sum of its proper divisors (220211379476796).

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

102111023444100 is a wasteful number, since it uses less digits than its factorization.

102111023444100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2196806 (or 2196799 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 102111023444100 its reverse (1444320111201), we get a palindrome (103555343555301).

The spelling of 102111023444100 in words is "one hundred two trillion, one hundred eleven billion, twenty-three million, four hundred forty-four thousand, one hundred".