102122201120 has 24 divisors (see below), whose sum is σ = 241263700524. Its totient is φ = 40848880384.

The previous prime is 102122201101. The next prime is 102122201141. The reversal of 102122201120 is 21102221201.

It can be written as a sum of positive squares in 2 ways, for example, as 83898281104 + 18223920016 = 289652^2 + 134996^2 .

It is a super-3 number, since 3×102122201120³ (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102122201095 and 102122201104.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 319131719 + ... + 319132038.

Almost surely, 2^102122201120 is an apocalyptic number.

102122201120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102122201120 is an abundant number, since it is smaller than the sum of its proper divisors (139141499404).

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

102122201120 is an equidigital number, since it uses as much as digits as its factorization.

102122201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638263772 (or 638263764 counting only the distinct ones).

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

Adding to 102122201120 its reverse (21102221201), we get a palindrome (123224422321).

The spelling of 102122201120 in words is "one hundred two billion, one hundred twenty-two million, two hundred one thousand, one hundred twenty".