2100100131000 has 384 divisors, whose sum is σ = 7409768333760. Its totient is φ = 535953024000.

The previous prime is 2100100130987. The next prime is 2100100131007. The reversal of 2100100131000 is 1310010012.

It is a super-2 number, since 2×2100100131000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100100131007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20261307 + ... + 20364693.

Almost surely, 2^{2100100131000} is an apocalyptic number.

2100100131000 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 2100100131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3704884166880).

2100100131000 is an abundant number, since it is smaller than the sum of its proper divisors (5309668202760).

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

2100100131000 is a wasteful number, since it uses less digits than its factorization.

2100100131000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103512 (or 103495 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 2100100131000 its reverse (1310010012), we get a palindrome (2101410141012).

The spelling of 2100100131000 in words is "two trillion, one hundred billion, one hundred million, one hundred thirty-one thousand".