10012122001020 has 48 divisors (see below), whose sum is σ = 28041500581920. Its totient is φ = 2669179297536.

The previous prime is 10012122001009. The next prime is 10012122001031. The reversal of 10012122001020 is 2010022121001.

It is an interprime number because it is at equal distance from previous prime (10012122001009) and next prime (10012122001031).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10012122000987 and 10012122001005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22272567 + ... + 22717646.

It is an arithmetic number, because the mean of its divisors is an integer number (584197928790).

Almost surely, 2^{10012122001020} is an apocalyptic number.

10012122001020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10012122001020 is an abundant number, since it is smaller than the sum of its proper divisors (18029378580900).

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

10012122001020 is a wasteful number, since it uses less digits than its factorization.

10012122001020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44993934 (or 44993932 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10012122001020 its reverse (2010022121001), we get a palindrome (12022144122021).

The spelling of 10012122001020 in words is "ten trillion, twelve billion, one hundred twenty-two million, one thousand, twenty".