102120311020320 has 144 divisors (see below), whose sum is σ = 351935913950712. Its totient is φ = 26962458316800.

The previous prime is 102120311020291. The next prime is 102120311020349. The reversal of 102120311020320 is 23020113021201.

102120311020320 is a `hidden beast` number, since 1 + 0 + 2 + 12 + 0 + 311 + 0 + 20 + 320 = 666.

It is an interprime number because it is at equal distance from previous prime (102120311020291) and next prime (102120311020349).

It can be written as a sum of positive squares in 4 ways, for example, as 100630671242256 + 1489639778064 = 10031484^2 + 1220508^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 102120311020293 and 102120311020302.

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, 350928237 + ... + 351219116.

Almost surely, 2^{102120311020320} is an apocalyptic number.

102120311020320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102120311020320 is an abundant number, since it is smaller than the sum of its proper divisors (249815602930392).

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

102120311020320 is a wasteful number, since it uses less digits than its factorization.

102120311020320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 702147475 (or 702147464 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 102120311020320 its reverse (23020113021201), we get a palindrome (125140424041521).

The spelling of 102120311020320 in words is "one hundred two trillion, one hundred twenty billion, three hundred eleven million, twenty thousand, three hundred twenty".