2102111100012 has 96 divisors (see below), whose sum is σ = 6156274521600. Its totient is φ = 542338398720.

The previous prime is 2102111100007. The next prime is 2102111100029. The reversal of 2102111100012 is 2100011112012.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7496593 + ... + 7771944.

It is an arithmetic number, because the mean of its divisors is an integer number (64127859600).

Almost surely, 2^{2102111100012} is an apocalyptic number.

2102111100012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2102111100012 is an abundant number, since it is smaller than the sum of its proper divisors (4054163421588).

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

2102111100012 is a wasteful number, since it uses less digits than its factorization.

2102111100012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15268711 (or 15268709 counting only the distinct ones).

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

Adding to 2102111100012 its reverse (2100011112012), we get a palindrome (4202122212024).

The spelling of 2102111100012 in words is "two trillion, one hundred two billion, one hundred eleven million, one hundred thousand, twelve".