2131100000001 has 24 divisors (see below), whose sum is σ = 3522420492864. Its totient is φ = 1216243455840.

The previous prime is 2131099999979. The next prime is 2131100000009. The reversal of 2131100000001 is 1000000011312.

It is not a de Polignac number, because 2131100000001 - 2⁹ = 2131099999489 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (2131100000009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21171235 + ... + 21271656.

It is an arithmetic number, because the mean of its divisors is an integer number (146767520536).

Almost surely, 2^{2131100000001} is an apocalyptic number.

2131100000001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2131100000001 is a deficient number, since it is larger than the sum of its proper divisors (1391320492863).

2131100000001 is a wasteful number, since it uses less digits than its factorization.

2131100000001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42443701 (or 42443698 counting only the distinct ones).

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

Adding to 2131100000001 its reverse (1000000011312), we get a palindrome (3131100011313).

The spelling of 2131100000001 in words is "two trillion, one hundred thirty-one billion, one hundred million, one", and thus it is an aban number.