102310211122020 has 288 divisors, whose sum is σ = 359551744546176. Its totient is φ = 23272979558400.

The previous prime is 102310211122019. The next prime is 102310211122051. The reversal of 102310211122020 is 20221112013201.

102310211122020 is a `hidden beast` number, since 1 + 0 + 2 + 310 + 2 + 111 + 220 + 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 = 102310211121984 and 102310211122002.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6550042 + ... + 15732878.

It is an arithmetic number, because the mean of its divisors is an integer number (1248443557452).

Almost surely, 2^{102310211122020} is an apocalyptic number.

102310211122020 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 102310211122020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179775872273088).

102310211122020 is an abundant number, since it is smaller than the sum of its proper divisors (257241533424156).

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

102310211122020 is a wasteful number, since it uses less digits than its factorization.

102310211122020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9183211 (or 9183206 counting only the distinct ones).

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

Adding to 102310211122020 its reverse (20221112013201), we get a palindrome (122531323135221).

The spelling of 102310211122020 in words is "one hundred two trillion, three hundred ten billion, two hundred eleven million, one hundred twenty-two thousand, twenty".