10201213132000 has 96 divisors (see below), whose sum is σ = 27342960843744. Its totient is φ = 3709532032000.

The previous prime is 10201213131961. The next prime is 10201213132037. The reversal of 10201213132000 is 23131210201.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115878877 + ... + 115966876.

It is an arithmetic number, because the mean of its divisors is an integer number (284822508789).

Almost surely, 2^{10201213132000} is an apocalyptic number.

10201213132000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10201213132000 is an abundant number, since it is smaller than the sum of its proper divisors (17141747711744).

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

10201213132000 is a wasteful number, since it uses less digits than its factorization.

10201213132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231845789 (or 231845771 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 10201213132000 its reverse (23131210201), we get a palindrome (10224344342201).

The spelling of 10201213132000 in words is "ten trillion, two hundred one billion, two hundred thirteen million, one hundred thirty-two thousand".