10212002000112 has 80 divisors (see below), whose sum is σ = 28824888303360. Its totient is φ = 3089641766400.

The previous prime is 10212002000107. The next prime is 10212002000173. The reversal of 10212002000112 is 21100020021201.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 15 ways as a sum of consecutive naturals, for example, 14992437 + ... + 15658772.

It is an arithmetic number, because the mean of its divisors is an integer number (360311103792).

Almost surely, 2^{10212002000112} is an apocalyptic number.

10212002000112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10212002000112 is an abundant number, since it is smaller than the sum of its proper divisors (18612886303248).

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

10212002000112 is a wasteful number, since it uses less digits than its factorization.

10212002000112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30651862 (or 30651856 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10212002000112 its reverse (21100020021201), we get a palindrome (31312022021313).

The spelling of 10212002000112 in words is "ten trillion, two hundred twelve billion, two million, one hundred twelve", and thus it is an aban number.