102000331013220 has 576 divisors, whose sum is σ = 341736589958400. Its totient is φ = 24534516695040.

The previous prime is 102000331013149. The next prime is 102000331013237. The reversal of 102000331013220 is 22310133000201.

102000331013220 is a `hidden beast` number, since 1 + 0 + 200 + 0 + 3 + 310 + 132 + 20 = 666.

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 = 102000331013193 and 102000331013202.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1092373135 + ... + 1092466505.

It is an arithmetic number, because the mean of its divisors is an integer number (593292690900).

Almost surely, 2^{102000331013220} is an apocalyptic number.

102000331013220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102000331013220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170868294979200).

102000331013220 is an abundant number, since it is smaller than the sum of its proper divisors (239736258945180).

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

102000331013220 is a wasteful number, since it uses less digits than its factorization.

102000331013220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93628 (or 93623 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 102000331013220 its reverse (22310133000201), we get a palindrome (124310464013421).

The spelling of 102000331013220 in words is "one hundred two trillion, three hundred thirty-one million, thirteen thousand, two hundred twenty".