2122112110000 has 100 divisors (see below), whose sum is σ = 5139583713000. Its totient is φ = 848557696000.

The previous prime is 2122112109977. The next prime is 2122112110009. The reversal of 2122112110000 is 112112212.

It is a tau number, because it is divible by the number of its divisors (100).

It is not an unprimeable number, because it can be changed into a prime (2122112110009) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 30855651 + ... + 30924349.

It is an arithmetic number, because the mean of its divisors is an integer number (51395837130).

Almost surely, 2^{2122112110000} is an apocalyptic number.

2122112110000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2122112110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2569791856500).

2122112110000 is an abundant number, since it is smaller than the sum of its proper divisors (3017471603000).

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

2122112110000 is an equidigital number, since it uses as much as digits as its factorization.

2122112110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71816 (or 71795 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 2122112110000 its reverse (112112212), we get a palindrome (2122224222212).

The spelling of 2122112110000 in words is "two trillion, one hundred twenty-two billion, one hundred twelve million, one hundred ten thousand".