10132002111200 has 72 divisors (see below), whose sum is σ = 24735238874640. Its totient is φ = 4052720768000.

The previous prime is 10132002111157. The next prime is 10132002111289. The reversal of 10132002111200 is 211120023101.

10132002111200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10132002111200² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56261300 + ... + 56441100.

It is an arithmetic number, because the mean of its divisors is an integer number (343544984370).

Almost surely, 2^{10132002111200} is an apocalyptic number.

10132002111200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10132002111200 is an abundant number, since it is smaller than the sum of its proper divisors (14603236763440).

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

10132002111200 is a wasteful number, since it uses less digits than its factorization.

10132002111200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250260 (or 250247 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 10132002111200 its reverse (211120023101), we get a palindrome (10343122134301).

The spelling of 10132002111200 in words is "ten trillion, one hundred thirty-two billion, two million, one hundred eleven thousand, two hundred".