102202312012020 has 768 divisors, whose sum is σ = 354733895577600. Its totient is φ = 24524577100800.

The previous prime is 102202312011983. The next prime is 102202312012039. The reversal of 102202312012020 is 20210213202201.

102202312012020 is a `hidden beast` number, since 10 + 2 + 20 + 231 + 201 + 202 + 0 = 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 = 102202312011984 and 102202312012002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 24982230175 + ... + 24982234265.

It is an arithmetic number, because the mean of its divisors is an integer number (461893093200).

Almost surely, 2^{102202312012020} is an apocalyptic number.

102202312012020 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 102202312012020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177366947788800).

102202312012020 is an abundant number, since it is smaller than the sum of its proper divisors (252531583565580).

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

102202312012020 is a wasteful number, since it uses less digits than its factorization.

102202312012020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4648 (or 4628 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 102202312012020 its reverse (20210213202201), we get a palindrome (122412525214221).

The spelling of 102202312012020 in words is "one hundred two trillion, two hundred two billion, three hundred twelve million, twelve thousand, twenty".