10002221120 has 56 divisors (see below), whose sum is σ = 23826529944. Its totient is φ = 3999420416.

The previous prime is 10002221107. The next prime is 10002221143. The reversal of 10002221120 is 2112220001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3321447424 + 6680773696 = 57632^2 + 81736^2 .

It is a super-3 number, since 3×10002221120³ (a number of 31 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1422734 + ... + 1429746.

It is an arithmetic number, because the mean of its divisors is an integer number (425473749).

Almost surely, 2^10002221120 is an apocalyptic number.

10002221120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10002221120 is an abundant number, since it is smaller than the sum of its proper divisors (13824308824).

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

10002221120 is an equidigital number, since it uses as much as digits as its factorization.

10002221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11487 (or 11477 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 10002221120 its reverse (2112220001), we get a palindrome (12114441121).

The spelling of 10002221120 in words is "ten billion, two million, two hundred twenty-one thousand, one hundred twenty".