2100100122011 has 16 divisors (see below), whose sum is σ = 2306865964800. Its totient is φ = 1902966693408.

The previous prime is 2100100121953. The next prime is 2100100122041. The reversal of 2100100122011 is 1102210010012.

It is a cyclic number.

It is not a de Polignac number, because 2100100122011 - 2¹⁸ = 2100099859867 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2100100121983 and 2100100122001.

It is not an unprimeable number, because it can be changed into a prime (2100100122041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9070985 + ... + 9299621.

It is an arithmetic number, because the mean of its divisors is an integer number (144179122800).

Almost surely, 2^{2100100122011} is an apocalyptic number.

2100100122011 is a deficient number, since it is larger than the sum of its proper divisors (206765842789).

2100100122011 is a wasteful number, since it uses less digits than its factorization.

2100100122011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249698.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 2100100122011 its reverse (1102210010012), we get a palindrome (3202310132023).

The spelling of 2100100122011 in words is "two trillion, one hundred billion, one hundred million, one hundred twenty-two thousand, eleven".