102012100000 has 288 divisors, whose sum is σ = 260448955200. Its totient is φ = 39302400000.

The previous prime is 102012099953. The next prime is 102012100027. The reversal of 102012100000 is 1210201.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 569899911 + ... + 569900089.

It is an arithmetic number, because the mean of its divisors is an integer number (904336650).

Almost surely, 2^102012100000 is an apocalyptic number.

102012100000 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 102012100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130224477600).

102012100000 is an abundant number, since it is smaller than the sum of its proper divisors (158436855200).

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

102012100000 is an equidigital number, since it uses as much as digits as its factorization.

102012100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 366 counting only the distinct ones).

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

Adding to 102012100000 its reverse (1210201), we get a palindrome (102013310201).

The spelling of 102012100000 in words is "one hundred two billion, twelve million, one hundred thousand".