2100001102211 has 32 divisors (see below), whose sum is σ = 2154709859328. Its totient is φ = 2046151134720.

The previous prime is 2100001102169. The next prime is 2100001102289. The reversal of 2100001102211 is 1122011000012.

It is a cyclic number.

It is not a de Polignac number, because 2100001102211 - 2¹⁴ = 2100001085827 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2100001102192 and 2100001102201.

It is not an unprimeable number, because it can be changed into a prime (2100001122211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2136318026 + ... + 2136319008.

It is an arithmetic number, because the mean of its divisors is an integer number (67334683104).

Almost surely, 2^{2100001102211} is an apocalyptic number.

2100001102211 is a deficient number, since it is larger than the sum of its proper divisors (54708757117).

2100001102211 is a wasteful number, since it uses less digits than its factorization.

2100001102211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2051.

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

Adding to 2100001102211 its reverse (1122011000012), we get a palindrome (3222012102223).

The spelling of 2100001102211 in words is "two trillion, one hundred billion, one million, one hundred two thousand, two hundred eleven".