102201323023120 has 80 divisors (see below), whose sum is σ = 238026729600000. Its totient is φ = 40810230116864.

The previous prime is 102201323023043. The next prime is 102201323023147. The reversal of 102201323023120 is 21320323102201.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×102201323023120² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102201323023091 and 102201323023100.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1264999686 + ... + 1265080474.

It is an arithmetic number, because the mean of its divisors is an integer number (2975334120000).

Almost surely, 2^{102201323023120} is an apocalyptic number.

102201323023120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102201323023120 is an abundant number, since it is smaller than the sum of its proper divisors (135825406576880).

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

102201323023120 is a wasteful number, since it uses less digits than its factorization.

102201323023120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107800 (or 107794 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 102201323023120 its reverse (21320323102201), we get a palindrome (123521646125321).

The spelling of 102201323023120 in words is "one hundred two trillion, two hundred one billion, three hundred twenty-three million, twenty-three thousand, one hundred twenty".