102012000000 has 252 divisors, whose sum is σ = 339411436728. Its totient is φ = 27200000000.

The previous prime is 102011999993. The next prime is 102012000019. The reversal of 102012000000 is 210201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 11995750 + ... + 12004250.

Almost surely, 2^102012000000 is an apocalyptic number.

102012000000 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 102012000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169705718364).

102012000000 is an abundant number, since it is smaller than the sum of its proper divisors (237399436728).

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

102012000000 is an frugal number, since it uses more digits than its factorization.

102012000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8550 (or 8511 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 102012000000 its reverse (210201), we get a palindrome (102012210201).

The spelling of 102012000000 in words is "one hundred two billion, twelve million", and thus it is an aban number.