102312021211020 has 432 divisors, whose sum is σ = 323167281999744. Its totient is φ = 26181294336000.

The previous prime is 102312021211009. The next prime is 102312021211091. The reversal of 102312021211020 is 20112120213201.

102312021211020 is a `hidden beast` number, since 1 + 0 + 231 + 202 + 1 + 211 + 0 + 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 = 102312021210984 and 102312021211002.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 18411374082 + ... + 18411379638.

Almost surely, 2^{102312021211020} is an apocalyptic number.

102312021211020 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 102312021211020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161583640999872).

102312021211020 is an abundant number, since it is smaller than the sum of its proper divisors (220855260788724).

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

102312021211020 is a wasteful number, since it uses less digits than its factorization.

102312021211020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6082 (or 5976 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 102312021211020 its reverse (20112120213201), we get a palindrome (122424141424221).

The spelling of 102312021211020 in words is "one hundred two trillion, three hundred twelve billion, twenty-one million, two hundred eleven thousand, twenty".