10001212221120 has 56 divisors (see below), whose sum is σ = 31753848805104. Its totient is φ = 2666989925376.

The previous prime is 10001212221101. The next prime is 10001212221163. The reversal of 10001212221120 is 2112221210001.

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 10001212221120.

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 7 ways as a sum of consecutive naturals, for example, 5208963739 + ... + 5208965658.

Almost surely, 2^{10001212221120} is an apocalyptic number.

10001212221120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10001212221120 is an abundant number, since it is smaller than the sum of its proper divisors (21752636583984).

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

10001212221120 is a wasteful number, since it uses less digits than its factorization.

10001212221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10417929417 (or 10417929407 counting only the distinct ones).

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

Adding to 10001212221120 its reverse (2112221210001), we get a palindrome (12113433431121).

The spelling of 10001212221120 in words is "ten trillion, one billion, two hundred twelve million, two hundred twenty-one thousand, one hundred twenty".