102213302130020 has 24 divisors (see below), whose sum is σ = 214649361790584. Its totient is φ = 40885048982016.

The previous prime is 102213302129969. The next prime is 102213302130113. The reversal of 102213302130020 is 20031203312201.

It can be written as a sum of positive squares in 4 ways, for example, as 1999107554404 + 100214194575616 = 1413898^2 + 10010704^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 102213302129974 and 102213302130001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13895207 + ... + 19937486.

It is an arithmetic number, because the mean of its divisors is an integer number (8943723407941).

Almost surely, 2^{102213302130020} is an apocalyptic number.

102213302130020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102213302130020 is an abundant number, since it is smaller than the sum of its proper divisors (112436059660564).

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

102213302130020 is a wasteful number, since it uses less digits than its factorization.

102213302130020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33983759 (or 33983757 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 102213302130020 its reverse (20031203312201), we get a palindrome (122244505442221).

The spelling of 102213302130020 in words is "one hundred two trillion, two hundred thirteen billion, three hundred two million, one hundred thirty thousand, twenty".