10100201221120 has 176 divisors, whose sum is σ = 24367210721568. Its totient is φ = 4017002250240.

The previous prime is 10100201221093. The next prime is 10100201221169. The reversal of 10100201221120 is 2112210200101.

It is a super-2 number, since 2×10100201221120² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10100201221120.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2736438475 + ... + 2736442165.

It is an arithmetic number, because the mean of its divisors is an integer number (138450060918).

Almost surely, 2^{10100201221120} is an apocalyptic number.

10100201221120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10100201221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12183605360784).

10100201221120 is an abundant number, since it is smaller than the sum of its proper divisors (14267009500448).

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

10100201221120 is a wasteful number, since it uses less digits than its factorization.

10100201221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6626 (or 6608 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10100201221120 its reverse (2112210200101), we get a palindrome (12212411421221).

The spelling of 10100201221120 in words is "ten trillion, one hundred billion, two hundred one million, two hundred twenty-one thousand, one hundred twenty".