2100120102012 has 96 divisors (see below), whose sum is σ = 5201450598400. Its totient is φ = 657639041472.

The previous prime is 2100120101987. The next prime is 2100120102061. The reversal of 2100120102012 is 2102010210012.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60297939 + ... + 60332757.

Almost surely, 2^{2100120102012} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2100120102012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2600725299200).

2100120102012 is an abundant number, since it is smaller than the sum of its proper divisors (3101330496388).

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

2100120102012 is a wasteful number, since it uses less digits than its factorization.

2100120102012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37055 (or 37053 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2100120102012 its reverse (2102010210012), we get a palindrome (4202130312024).

The spelling of 2100120102012 in words is "two trillion, one hundred billion, one hundred twenty million, one hundred two thousand, twelve".