10002221421320 has 64 divisors (see below), whose sum is σ = 23850624694320. Its totient is φ = 3762096758784.

The previous prime is 10002221421301. The next prime is 10002221421341. The reversal of 10002221421320 is 2312412220001.

It can be written as a sum of positive squares in 8 ways, for example, as 9453546414244 + 548675007076 = 3074662^2 + 740726^2 .

It is a super-2 number, since 2×10002221421320² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 10002221421292 and 10002221421301.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 5985557 + ... + 7472036.

Almost surely, 2^{10002221421320} is an apocalyptic number.

10002221421320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10002221421320 is an abundant number, since it is smaller than the sum of its proper divisors (13848403273000).

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

10002221421320 is a wasteful number, since it uses less digits than its factorization.

10002221421320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13458714 (or 13458710 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 10002221421320 its reverse (2312412220001), we get a palindrome (12314633641321).

The spelling of 10002221421320 in words is "ten trillion, two billion, two hundred twenty-one million, four hundred twenty-one thousand, three hundred twenty".