10111001221120 has 48 divisors (see below), whose sum is σ = 24260478540480. Its totient is φ = 4044400484352.

The previous prime is 10111001221063. The next prime is 10111001221147. The reversal of 10111001221120 is 2112210011101.

It is a happy number.

It is a super-2 number, since 2×10111001221120² (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 10111001221120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 493690992 + ... + 493711471.

It is an arithmetic number, because the mean of its divisors is an integer number (505426636260).

Almost surely, 2^{10111001221120} is an apocalyptic number.

10111001221120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10111001221120 is an abundant number, since it is smaller than the sum of its proper divisors (14149477319360).

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

10111001221120 is an frugal number, since it uses more digits than its factorization.

10111001221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 987402490 (or 987402470 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 10111001221120 its reverse (2112210011101), we get a palindrome (12223211232221).

The spelling of 10111001221120 in words is "ten trillion, one hundred eleven billion, one million, two hundred twenty-one thousand, one hundred twenty".