10010122121220 has 96 divisors (see below), whose sum is σ = 30191114862720. Its totient is φ = 2463479316480.

The previous prime is 10010122121179. The next prime is 10010122121249. The reversal of 10010122121220 is 2212122101001.

It is a super-3 number, since 3×10010122121220³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10010122121220.

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, 2063191 + ... + 4927169.

It is an arithmetic number, because the mean of its divisors is an integer number (314490779820).

Almost surely, 2^{10010122121220} is an apocalyptic number.

10010122121220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10010122121220 is an abundant number, since it is smaller than the sum of its proper divisors (20180992741500).

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

10010122121220 is a wasteful number, since it uses less digits than its factorization.

10010122121220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2868485 (or 2868483 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10010122121220 its reverse (2212122101001), we get a palindrome (12222244222221).

The spelling of 10010122121220 in words is "ten trillion, ten billion, one hundred twenty-two million, one hundred twenty-one thousand, two hundred twenty".