10201121022020 has 24 divisors (see below), whose sum is σ = 21422854874904. Its totient is φ = 4080353031936.

The previous prime is 10201121021951. The next prime is 10201121022023. The reversal of 10201121022020 is 2022012110201.

It can be written as a sum of positive squares in 4 ways, for example, as 30647404096 + 10170473617924 = 175064^2 + 3189118^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10201121021986 and 10201121022004.

It is not an unprimeable number, because it can be changed into a prime (10201121022023) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5080847 + ... + 6798326.

It is an arithmetic number, because the mean of its divisors is an integer number (892618953121).

Almost surely, 2^{10201121022020} is an apocalyptic number.

10201121022020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10201121022020 is an abundant number, since it is smaller than the sum of its proper divisors (11221733852884).

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

10201121022020 is a wasteful number, since it uses less digits than its factorization.

10201121022020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11922119 (or 11922117 counting only the distinct ones).

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

Adding to 10201121022020 its reverse (2022012110201), we get a palindrome (12223133132221).

The spelling of 10201121022020 in words is "ten trillion, two hundred one billion, one hundred twenty-one million, twenty-two thousand, twenty".