10111002120120 has 256 divisors, whose sum is σ = 33403539456000. Its totient is φ = 2428076597760.

The previous prime is 10111002120077. The next prime is 10111002120143. The reversal of 10111002120120 is 2102120011101.

It is a super-2 number, since 2×10111002120120² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10111002120096 and 10111002120105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 59543577 + ... + 59713143.

It is an arithmetic number, because the mean of its divisors is an integer number (130482576000).

Almost surely, 2^{10111002120120} is an apocalyptic number.

10111002120120 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 10111002120120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16701769728000).

10111002120120 is an abundant number, since it is smaller than the sum of its proper divisors (23292537335880).

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

10111002120120 is a wasteful number, since it uses less digits than its factorization.

10111002120120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170018 (or 170014 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10111002120120 its reverse (2102120011101), we get a palindrome (12213122131221).

The spelling of 10111002120120 in words is "ten trillion, one hundred eleven billion, two million, one hundred twenty thousand, one hundred twenty".