102122220100120 has 128 divisors (see below), whose sum is σ = 272367953049600. Its totient is φ = 34045993958400.

The previous prime is 102122220100049. The next prime is 102122220100123. The reversal of 102122220100120 is 21001022221201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 102122220100094 and 102122220100103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102122220100123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 196766269 + ... + 197284588.

It is an arithmetic number, because the mean of its divisors is an integer number (2127874633200).

Almost surely, 2^{102122220100120} is an apocalyptic number.

102122220100120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102122220100120 is an abundant number, since it is smaller than the sum of its proper divisors (170245732949480).

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

102122220100120 is a wasteful number, since it uses less digits than its factorization.

102122220100120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394050929 (or 394050925 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 102122220100120 its reverse (21001022221201), we get a palindrome (123123242321321).

The spelling of 102122220100120 in words is "one hundred two trillion, one hundred twenty-two billion, two hundred twenty million, one hundred thousand, one hundred twenty".