2102122122120 has 96 divisors (see below), whose sum is σ = 6847459819200. Its totient is φ = 559288941696.

The previous prime is 2102122122103. The next prime is 2102122122179. The reversal of 2102122122120 is 212212212012.

It is a happy number.

2102122122120 is a `hidden beast` number, since 210 + 21 + 221 + 2 + 212 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2102122122093 and 2102122122102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6492562 + ... + 6808641.

It is an arithmetic number, because the mean of its divisors is an integer number (71327706450).

Almost surely, 2^{2102122122120} is an apocalyptic number.

2102122122120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2102122122120 is an abundant number, since it is smaller than the sum of its proper divisors (4745337697080).

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

2102122122120 is a wasteful number, since it uses less digits than its factorization.

2102122122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13301659 (or 13301652 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 2102122122120 its reverse (212212212012), we get a palindrome (2314334334132).

It can be divided in two parts, 210212 and 2122120, that added together give a palindrome (2332332).

The spelling of 2102122122120 in words is "two trillion, one hundred two billion, one hundred twenty-two million, one hundred twenty-two thousand, one hundred twenty".