2113101012100 has 36 divisors (see below), whose sum is σ = 4938154522084. Its totient is φ = 780221911680.

The previous prime is 2113101012097. The next prime is 2113101012103. The reversal of 2113101012100 is 12101013112.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2113101012097) and next prime (2113101012103).

It can be written as a sum of positive squares in 6 ways, for example, as 542570720836 + 1570530291264 = 736594^2 + 1253208^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (2113101012103) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 812729859 + ... + 812732458.

Almost surely, 2^{2113101012100} is an apocalyptic number.

2113101012100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2113101012100 is an abundant number, since it is smaller than the sum of its proper divisors (2825053509984).

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

2113101012100 is a wasteful number, since it uses less digits than its factorization.

2113101012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1625462344 (or 1625462337 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 2113101012100 its reverse (12101013112), we get a palindrome (2125202025212).

The spelling of 2113101012100 in words is "two trillion, one hundred thirteen billion, one hundred one million, twelve thousand, one hundred".