10222110102020 has 96 divisors (see below), whose sum is σ = 21697416031200. Its totient is φ = 4045112524800.

The previous prime is 10222110101999. The next prime is 10222110102059. The reversal of 10222110102020 is 2020101122201.

It can be written as a sum of positive squares in 16 ways, for example, as 5887727543296 + 4334382558724 = 2426464^2 + 2081918^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10222110101986 and 10222110102004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1144816916 + ... + 1144825844.

It is an arithmetic number, because the mean of its divisors is an integer number (226014750325).

Almost surely, 2^{10222110102020} is an apocalyptic number.

10222110102020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10222110102020 is an abundant number, since it is smaller than the sum of its proper divisors (11475305929180).

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

10222110102020 is a wasteful number, since it uses less digits than its factorization.

10222110102020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10729 (or 10727 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10222110102020 its reverse (2020101122201), we get a palindrome (12242211224221).

The spelling of 10222110102020 in words is "ten trillion, two hundred twenty-two billion, one hundred ten million, one hundred two thousand, twenty".