2101311002100 has 108 divisors (see below), whose sum is σ = 6416624143104. Its totient is φ = 530857488960.

The previous prime is 2101311002099. The next prime is 2101311002107. The reversal of 2101311002100 is 12001131012.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101311002107) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9593044 + ... + 9809643.

Almost surely, 2^{2101311002100} is an apocalyptic number.

2101311002100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2101311002100 is an abundant number, since it is smaller than the sum of its proper divisors (4315313141004).

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

2101311002100 is a wasteful number, since it uses less digits than its factorization.

2101311002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19402742 (or 19402716 counting only the distinct ones).

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

Adding to 2101311002100 its reverse (12001131012), we get a palindrome (2113312133112).

The spelling of 2101311002100 in words is "two trillion, one hundred one billion, three hundred eleven million, two thousand, one hundred".