2100111001131 has 64 divisors (see below), whose sum is σ = 3488378987520. Its totient is φ = 1104130621440.

The previous prime is 2100111001127. The next prime is 2100111001133. The reversal of 2100111001131 is 1311001110012.

It is not a de Polignac number, because 2100111001131 - 2² = 2100111001127 is a prime.

It is a super-2 number, since 2×2100111001131² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2100111001133) 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 63 ways as a sum of consecutive naturals, for example, 4694250 + ... + 5122128.

It is an arithmetic number, because the mean of its divisors is an integer number (54505921680).

Almost surely, 2^{2100111001131} is an apocalyptic number.

2100111001131 is a deficient number, since it is larger than the sum of its proper divisors (1388267986389).

2100111001131 is a wasteful number, since it uses less digits than its factorization.

2100111001131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428596.

The product of its (nonzero) digits is 6, while the sum is 12.

Adding to 2100111001131 its reverse (1311001110012), we get a palindrome (3411112111143).

The spelling of 2100111001131 in words is "two trillion, one hundred billion, one hundred eleven million, one thousand, one hundred thirty-one".