2100100122211 has 16 divisors (see below), whose sum is σ = 2584914320128. Its totient is φ = 1661504724000.

The previous prime is 2100100122209. The next prime is 2100100122221. The reversal of 2100100122211 is 1122210010012.

It is a cyclic number.

It is not a de Polignac number, because 2100100122211 - 2¹ = 2100100122209 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 2100100122191 and 2100100122200.

It is not an unprimeable number, because it can be changed into a prime (2100100122221) 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, 574456 + ... + 2128426.

It is an arithmetic number, because the mean of its divisors is an integer number (161557145008).

Almost surely, 2^{2100100122211} is an apocalyptic number.

2100100122211 is a deficient number, since it is larger than the sum of its proper divisors (484814197917).

2100100122211 is a wasteful number, since it uses less digits than its factorization.

2100100122211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1568842.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 2100100122211 its reverse (1122210010012), we get a palindrome (3222310132223).

The spelling of 2100100122211 in words is "two trillion, one hundred billion, one hundred million, one hundred twenty-two thousand, two hundred eleven".