10100131021200 has 360 divisors, whose sum is σ = 35573687173024. Its totient is φ = 2447764070400.

The previous prime is 10100131021181. The next prime is 10100131021217. The reversal of 10100131021200 is 212013100101.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 581226912 + ... + 581244288.

Almost surely, 2^{10100131021200} is an apocalyptic number.

10100131021200 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 10100131021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17786843586512).

10100131021200 is an abundant number, since it is smaller than the sum of its proper divisors (25473556151824).

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

10100131021200 is a wasteful number, since it uses less digits than its factorization.

10100131021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21423 (or 21401 counting only the distinct ones).

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

Adding to 10100131021200 its reverse (212013100101), we get a palindrome (10312144121301).

The spelling of 10100131021200 in words is "ten trillion, one hundred billion, one hundred thirty-one million, twenty-one thousand, two hundred".