210100131120000 has 480 divisors, whose sum is σ = 766536109332840. Its totient is φ = 50933358080000.

The previous prime is 210100131119999. The next prime is 210100131120029. The reversal of 210100131120000 is 21131001012.

It is a tau number, because it is divible by the number of its divisors (480).

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 polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 25422574 + ... + 32657426.

Almost surely, 2^{210100131120000} is an apocalyptic number.

210100131120000 is a gapful number since it is divisible by the number (20) 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 210100131120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383268054666420).

210100131120000 is an abundant number, since it is smaller than the sum of its proper divisors (556435978212840).

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

210100131120000 is an equidigital number, since it uses as much as digits as its factorization.

210100131120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7234912 (or 7234874 counting only the distinct ones).

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

Adding to 210100131120000 its reverse (21131001012), we get a palindrome (210121262121012).

The spelling of 210100131120000 in words is "two hundred ten trillion, one hundred billion, one hundred thirty-one million, one hundred twenty thousand".