2122122110010 has 192 divisors, whose sum is σ = 6003863078400. Its totient is φ = 478577369088.

The previous prime is 2122122109993. The next prime is 2122122110023. The reversal of 2122122110010 is 100112212212.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 187312026 + ... + 187323354.

It is an arithmetic number, because the mean of its divisors is an integer number (31270120200).

Almost surely, 2^{2122122110010} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2122122110010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3001931539200).

2122122110010 is an abundant number, since it is smaller than the sum of its proper divisors (3881740968390).

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

2122122110010 is a wasteful number, since it uses less digits than its factorization.

2122122110010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13045 (or 13038 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 2122122110010 its reverse (100112212212), we get a palindrome (2222234322222).

The spelling of 2122122110010 in words is "two trillion, one hundred twenty-two billion, one hundred twenty-two million, one hundred ten thousand, ten".