2101100011012 has 48 divisors (see below), whose sum is σ = 3826060003584. Its totient is φ = 1008840096000.

The previous prime is 2101100011001. The next prime is 2101100011013.

2101100011012 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 2101100011012.

It is not an unprimeable number, because it can be changed into a prime (2101100011013) 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, 3404062 + ... + 3973642.

It is an arithmetic number, because the mean of its divisors is an integer number (79709583408).

Almost surely, 2^{2101100011012} is an apocalyptic number.

It is an amenable number.

2101100011012 is a deficient number, since it is larger than the sum of its proper divisors (1724959992572).

2101100011012 is a wasteful number, since it uses less digits than its factorization.

2101100011012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569980 (or 569978 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

It can be divided in two parts, 21011000 and 11012, that added together give a palindrome (21022012).

The spelling of 2101100011012 in words is "two trillion, one hundred one billion, one hundred million, eleven thousand, twelve".