102102120210020 has 72 divisors (see below), whose sum is σ = 251009562146616. Its totient is φ = 34783470199296.

The previous prime is 102102120209989. The next prime is 102102120210037. The reversal of 102102120210020 is 20012021201201.

It can be written as a sum of positive squares in 4 ways, for example, as 12695866891876 + 89406253318144 = 3563126^2 + 9455488^2 .

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 102102120209977 and 102102120210004.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 331648169 + ... + 331955888.

It is an arithmetic number, because the mean of its divisors is an integer number (3486243918703).

Almost surely, 2^{102102120210020} is an apocalyptic number.

102102120210020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102102120210020 is an abundant number, since it is smaller than the sum of its proper divisors (148907441936596).

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

102102120210020 is a wasteful number, since it uses less digits than its factorization.

102102120210020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663604237 (or 663604228 counting only the distinct ones).

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

Adding to 102102120210020 its reverse (20012021201201), we get a palindrome (122114141411221).

The spelling of 102102120210020 in words is "one hundred two trillion, one hundred two billion, one hundred twenty million, two hundred ten thousand, twenty".