10202102022020 has 24 divisors (see below), whose sum is σ = 21427699969368. Its totient is φ = 4080214956800.

The previous prime is 10202102021999. The next prime is 10202102022053. The reversal of 10202102022020 is 2022020120201.

It can be written as a sum of positive squares in 4 ways, for example, as 3615405622084 + 6586696399936 = 1901422^2 + 2566456^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10202102021986 and 10202102022004.

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 7 ways as a sum of consecutive naturals, for example, 38982071 + ... + 39242910.

It is an arithmetic number, because the mean of its divisors is an integer number (892820832057).

Almost surely, 2^{10202102022020} is an apocalyptic number.

10202102022020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10202102022020 is an abundant number, since it is smaller than the sum of its proper divisors (11225597947348).

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

10202102022020 is a wasteful number, since it uses less digits than its factorization.

10202102022020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78231511 (or 78231509 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 10202102022020 its reverse (2022020120201), we get a palindrome (12224122142221).

The spelling of 10202102022020 in words is "ten trillion, two hundred two billion, one hundred two million, twenty-two thousand, twenty".