102010221331020 has 36 divisors (see below), whose sum is σ = 309431004704640. Its totient is φ = 27202725688224.

The previous prime is 102010221331013. The next prime is 102010221331033. The reversal of 102010221331020 is 20133122010201.

102010221331020 is a `hidden beast` number, since 1 + 0 + 20 + 102 + 213 + 310 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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 = 102010221330984 and 102010221331002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 283361725740 + ... + 283361726099.

It is an arithmetic number, because the mean of its divisors is an integer number (8595305686240).

Almost surely, 2^{102010221331020} is an apocalyptic number.

102010221331020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102010221331020 is an abundant number, since it is smaller than the sum of its proper divisors (207420783373620).

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

102010221331020 is a wasteful number, since it uses less digits than its factorization.

102010221331020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566723451854 (or 566723451849 counting only the distinct ones).

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

Adding to 102010221331020 its reverse (20133122010201), we get a palindrome (122143343341221).

The spelling of 102010221331020 in words is "one hundred two trillion, ten billion, two hundred twenty-one million, three hundred thirty-one thousand, twenty".