102022220202320 has 40 divisors (see below), whose sum is σ = 258765449424480. Its totient is φ = 37098989164160.

The previous prime is 102022220202319. The next prime is 102022220202337. The reversal of 102022220202320 is 23202022220201.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×102022220202320² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 102022220202292 and 102022220202301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57967169690 + ... + 57967171449.

It is an arithmetic number, because the mean of its divisors is an integer number (6469136235612).

Almost surely, 2^{102022220202320} is an apocalyptic number.

102022220202320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102022220202320 is an abundant number, since it is smaller than the sum of its proper divisors (156743229222160).

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

102022220202320 is a wasteful number, since it uses less digits than its factorization.

102022220202320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115934341163 (or 115934341157 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 102022220202320 its reverse (23202022220201), we get a palindrome (125224242422521).

The spelling of 102022220202320 in words is "one hundred two trillion, twenty-two billion, two hundred twenty million, two hundred two thousand, three hundred twenty".