10111022211120 has 40 divisors (see below), whose sum is σ = 31344168855216. Its totient is φ = 2696272589568.

The previous prime is 10111022211047. The next prime is 10111022211161. The reversal of 10111022211120 is 2111222011101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

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 10111022211120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21064629367 + ... + 21064629846.

Almost surely, 2^{10111022211120} is an apocalyptic number.

10111022211120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10111022211120 is an abundant number, since it is smaller than the sum of its proper divisors (21233146644096).

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

10111022211120 is a wasteful number, since it uses less digits than its factorization.

10111022211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42129259229 (or 42129259223 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 10111022211120 its reverse (2111222011101), we get a palindrome (12222244222221).

The spelling of 10111022211120 in words is "ten trillion, one hundred eleven billion, twenty-two million, two hundred eleven thousand, one hundred twenty".