2100112012011 has 64 divisors (see below), whose sum is σ = 3058092477440. Its totient is φ = 1274274270720.

The previous prime is 2100112011971. The next prime is 2100112012043. The reversal of 2100112012011 is 1102102110012.

It is not a de Polignac number, because 2100112012011 - 2¹⁷ = 2100111880939 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2100112012051) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1022946861 + ... + 1022948913.

It is an arithmetic number, because the mean of its divisors is an integer number (47782694960).

Almost surely, 2^{2100112012011} is an apocalyptic number.

2100112012011 is a deficient number, since it is larger than the sum of its proper divisors (957980465429).

2100112012011 is a wasteful number, since it uses less digits than its factorization.

2100112012011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3236.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 2100112012011 its reverse (1102102110012), we get a palindrome (3202214122023).

The spelling of 2100112012011 in words is "two trillion, one hundred billion, one hundred twelve million, twelve thousand, eleven".