102112020000 has 360 divisors, whose sum is σ = 368319487536. Its totient is φ = 26820288000.

The previous prime is 102112019981. The next prime is 102112020013. The reversal of 102112020000 is 20211201.

It is a tau number, because it is divible by the number of its divisors (360).

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

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 59 ways as a sum of consecutive naturals, for example, 12055767 + ... + 12064233.

Almost surely, 2^102112020000 is an apocalyptic number.

102112020000 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 102112020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184159743768).

102112020000 is an abundant number, since it is smaller than the sum of its proper divisors (266207467536).

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

102112020000 is an equidigital number, since it uses as much as digits as its factorization.

102112020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8570 (or 8544 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 102112020000 its reverse (20211201), we get a palindrome (102132231201).

The spelling of 102112020000 in words is "one hundred two billion, one hundred twelve million, twenty thousand".