10221001122020 has 36 divisors (see below), whose sum is σ = 23242193683380. Its totient is φ = 3773908105344.

The previous prime is 10221001121977. The next prime is 10221001122043. The reversal of 10221001122020 is 2022110012201.

It can be written as a sum of positive squares in 6 ways, for example, as 2522995499236 + 7698005622784 = 1588394^2 + 2774528^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10221001121986 and 10221001122004.

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 11 ways as a sum of consecutive naturals, for example, 1511979035 + ... + 1511985794.

It is an arithmetic number, because the mean of its divisors is an integer number (645616491205).

Almost surely, 2^{10221001122020} is an apocalyptic number.

10221001122020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10221001122020 is an abundant number, since it is smaller than the sum of its proper divisors (13021192561360).

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

10221001122020 is a wasteful number, since it uses less digits than its factorization.

10221001122020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3023964864 (or 3023964849 counting only the distinct ones).

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

Adding to 10221001122020 its reverse (2022110012201), we get a palindrome (12243111134221).

The spelling of 10221001122020 in words is "ten trillion, two hundred twenty-one billion, one million, one hundred twenty-two thousand, twenty".