2101110111012 has 36 divisors (see below), whose sum is σ = 5388797561168. Its totient is φ = 636700033200.

The previous prime is 2101110110971. The next prime is 2101110111013.

2101110111012 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (2101110111013) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 723521314 + ... + 723524217.

Almost surely, 2^{2101110111012} is an apocalyptic number.

2101110111012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2101110111012 is an abundant number, since it is smaller than the sum of its proper divisors (3287687450156).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2101110111012 is a wasteful number, since it uses less digits than its factorization.

2101110111012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1447045560 (or 1447045547 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

It can be divided in two parts, 2101110 and 111012, that added together give a palindrome (2212122).

The spelling of 2101110111012 in words is "two trillion, one hundred one billion, one hundred ten million, one hundred eleven thousand, twelve".