10120122002020 has 24 divisors (see below), whose sum is σ = 21471351633144. Its totient is φ = 4006316338176.

The previous prime is 10120122001799. The next prime is 10120122002021. The reversal of 10120122002020 is 2020022102101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2375611855204 + 7744510146816 = 1541302^2 + 2782896^2 .

It is not an unprimeable number, because it can be changed into a prime (10120122002021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2608276927 + ... + 2608280806.

It is an arithmetic number, because the mean of its divisors is an integer number (894639651381).

Almost surely, 2^{10120122002020} is an apocalyptic number.

10120122002020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10120122002020 is an abundant number, since it is smaller than the sum of its proper divisors (11351229631124).

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

10120122002020 is a wasteful number, since it uses less digits than its factorization.

10120122002020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5216557839 (or 5216557837 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 10120122002020 its reverse (2020022102101), we get a palindrome (12140144104121).

The spelling of 10120122002020 in words is "ten trillion, one hundred twenty billion, one hundred twenty-two million, two thousand, twenty".