10211122122020 has 96 divisors (see below), whose sum is σ = 22247839766880. Its totient is φ = 3932057292800.

The previous prime is 10211122122017. The next prime is 10211122122067. The reversal of 10211122122020 is 2022122111201.

It can be written as a sum of positive squares in 16 ways, for example, as 29509055524 + 10181613066496 = 171782^2 + 3190864^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 10211122122020.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 275236112 + ... + 275273208.

It is an arithmetic number, because the mean of its divisors is an integer number (231748330905).

Almost surely, 2^{10211122122020} is an apocalyptic number.

10211122122020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10211122122020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11123919883440).

10211122122020 is an abundant number, since it is smaller than the sum of its proper divisors (12036717644860).

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

10211122122020 is a wasteful number, since it uses less digits than its factorization.

10211122122020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38513 (or 38511 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 10211122122020 its reverse (2022122111201), we get a palindrome (12233244233221).

The spelling of 10211122122020 in words is "ten trillion, two hundred eleven billion, one hundred twenty-two million, one hundred twenty-two thousand, twenty".