102111032000 has 224 divisors, whose sum is σ = 256826284416. Its totient is φ = 40212480000.

The previous prime is 102111031969. The next prime is 102111032027. The reversal of 102111032000 is 230111201.

It is a super-2 number, since 2×102111032000² (a number of 23 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 165495692 + ... + 165496308.

Almost surely, 2^102111032000 is an apocalyptic number.

102111032000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102111032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128413142208).

102111032000 is an abundant number, since it is smaller than the sum of its proper divisors (154715252416).

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

102111032000 is a wasteful number, since it uses less digits than its factorization.

102111032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 932 (or 912 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 102111032000 its reverse (230111201), we get a palindrome (102341143201).

The spelling of 102111032000 in words is "one hundred two billion, one hundred eleven million, thirty-two thousand".