102102022010120 has 48 divisors (see below), whose sum is σ = 252512645355180. Its totient is φ = 37128008001920.

The previous prime is 102102022010077. The next prime is 102102022010137. The reversal of 102102022010120 is 21010220201201.

It can be written as a sum of positive squares in 2 ways, for example, as 102097161410596 + 4860599524 = 10104314^2 + 69718^2 .

It is a junction number, because it is equal to n+sod(n) for n = 102102022010095 and 102102022010104.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10547724707 + ... + 10547734386.

Almost surely, 2^{102102022010120} is an apocalyptic number.

102102022010120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102102022010120 is an abundant number, since it is smaller than the sum of its proper divisors (150410623345060).

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

102102022010120 is a wasteful number, since it uses less digits than its factorization.

102102022010120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21095459126 (or 21095459111 counting only the distinct ones).

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

Adding to 102102022010120 its reverse (21010220201201), we get a palindrome (123112242211321).

The spelling of 102102022010120 in words is "one hundred two trillion, one hundred two billion, twenty-two million, ten thousand, one hundred twenty".