102001012000000 has 126 divisors (see below), whose sum is σ = 254501230506614. Its totient is φ = 40800403200000.

The previous prime is 102001011999989. The next prime is 102001012000039. The reversal of 102001012000000 is 210100201.

It can be written as a sum of positive squares in 7 ways, for example, as 97054337811456 + 4946674188544 = 9851616^2 + 2224112^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 8750127 + ... + 16750126.

Almost surely, 2^{102001012000000} is an apocalyptic number.

102001012000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102001012000000 is an abundant number, since it is smaller than the sum of its proper divisors (152500218506614).

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

102001012000000 is an frugal number, since it uses more digits than its factorization.

102001012000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25500299 (or 25500260 counting only the distinct ones).

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

Adding to 102001012000000 its reverse (210100201), we get a palindrome (102001222100201).

The spelling of 102001012000000 in words is "one hundred two trillion, one billion, twelve million", and thus it is an aban number.