102112000000 has 168 divisors, whose sum is σ = 255294388440. Its totient is φ = 40832000000.

The previous prime is 102111999989. The next prime is 102112000037. The reversal of 102112000000 is 211201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 31998405 + ... + 32001595.

It is an arithmetic number, because the mean of its divisors is an integer number (1519609455).

Almost surely, 2^102112000000 is an apocalyptic number.

102112000000 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 102112000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127647194220).

102112000000 is an abundant number, since it is smaller than the sum of its proper divisors (153182388440).

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

102112000000 is an frugal number, since it uses more digits than its factorization.

102112000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3243 (or 3198 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 102112000000 its reverse (211201), we get a palindrome (102112211201).

The spelling of 102112000000 in words is "one hundred two billion, one hundred twelve million", and thus it is an aban number.