2102122112000 has 88 divisors (see below), whose sum is σ = 5244335149560. Its totient is φ = 840848793600.

The previous prime is 2102122111993. The next prime is 2102122112017. The reversal of 2102122112000 is 2112212012.

It can be written as a sum of positive squares in 4 ways, for example, as 381785580544 + 1720336531456 = 617888^2 + 1311616^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8083415 + ... + 8339414.

Almost surely, 2^{2102122112000} is an apocalyptic number.

2102122112000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2102122112000 is an abundant number, since it is smaller than the sum of its proper divisors (3142213037560).

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

2102122112000 is an equidigital number, since it uses as much as digits as its factorization.

2102122112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16422864 (or 16422836 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 2102122112000 its reverse (2112212012), we get a palindrome (2104234324012).

It can be divided in two parts, 2102122 and 112000, that added together give a palindrome (2214122).

The spelling of 2102122112000 in words is "two trillion, one hundred two billion, one hundred twenty-two million, one hundred twelve thousand".