102201122120 has 32 divisors (see below), whose sum is σ = 234845136000. Its totient is φ = 40010651328.

The previous prime is 102201121993. The next prime is 102201122123. The reversal of 102201122120 is 21221102201.

102201122120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 102201122095 and 102201122104.

It is not an unprimeable number, because it can be changed into a prime (102201122123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27179270 + ... + 27183029.

It is an arithmetic number, because the mean of its divisors is an integer number (7338910500).

Almost surely, 2^102201122120 is an apocalyptic number.

102201122120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102201122120 is an abundant number, since it is smaller than the sum of its proper divisors (132644013880).

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

102201122120 is a wasteful number, since it uses less digits than its factorization.

102201122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54362357 (or 54362353 counting only the distinct ones).

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

Adding to 102201122120 its reverse (21221102201), we get a palindrome (123422224321).

The spelling of 102201122120 in words is "one hundred two billion, two hundred one million, one hundred twenty-two thousand, one hundred twenty".