2101120211012 has 96 divisors (see below), whose sum is σ = 3792289105920. Its totient is φ = 1018322565120.

The previous prime is 2101120210909. The next prime is 2101120211017.

2101120211012 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2101120211012² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2101120211017) 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, 1932952733 + ... + 1932953819.

It is an arithmetic number, because the mean of its divisors is an integer number (39503011520).

Almost surely, 2^{2101120211012} is an apocalyptic number.

It is an amenable number.

2101120211012 is a deficient number, since it is larger than the sum of its proper divisors (1691168894908).

2101120211012 is a wasteful number, since it uses less digits than its factorization.

2101120211012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1741 (or 1739 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

It can be divided in two parts, 2101120 and 211012, that added together give a palindrome (2312132).

The spelling of 2101120211012 in words is "two trillion, one hundred one billion, one hundred twenty million, two hundred eleven thousand, twelve".