2101012101012 has 36 divisors (see below), whose sum is σ = 5388546191168. Its totient is φ = 636670333200.

The previous prime is 2101012101007. The next prime is 2101012101047.

2101012101012 is nontrivially palindromic in base 10.

2101012101012 is an esthetic number in base 10, because in such base its adjacent digits differ by 1.

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

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 723487564 + ... + 723490467.

Almost surely, 2^{2101012101012} is an apocalyptic number.

2101012101012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2101012101012 is an abundant number, since it is smaller than the sum of its proper divisors (3287534090156).

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

2101012101012 is a wasteful number, since it uses less digits than its factorization.

2101012101012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1446978060 (or 1446978047 counting only the distinct ones).

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

The spelling of 2101012101012 in words is "two trillion, one hundred one billion, twelve million, one hundred one thousand, twelve".