102110112000 has 576 divisors, whose sum is σ = 405875608320. Its totient is φ = 25132032000.

The previous prime is 102110111989. The next prime is 102110112007. The reversal of 102110112000 is 211011201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (102110112007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11227455 + ... + 11236545.

Almost surely, 2^102110112000 is an apocalyptic number.

102110112000 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 102110112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202937804160).

102110112000 is an abundant number, since it is smaller than the sum of its proper divisors (303765496320).

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

102110112000 is an equidigital number, since it uses as much as digits as its factorization.

102110112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9144 (or 9114 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 102110112000 its reverse (211011201), we get a palindrome (102321123201).

The spelling of 102110112000 in words is "one hundred two billion, one hundred ten million, one hundred twelve thousand".