10110022200120 has 128 divisors (see below), whose sum is σ = 31088487709440. Its totient is φ = 2628669711360.

The previous prime is 10110022200071. The next prime is 10110022200137. The reversal of 10110022200120 is 2100222001101.

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 = 10110022200096 and 10110022200105.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 7585299 + ... + 8817981.

It is an arithmetic number, because the mean of its divisors is an integer number (242878810230).

Almost surely, 2^{10110022200120} is an apocalyptic number.

10110022200120 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 10110022200120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15544243854720).

10110022200120 is an abundant number, since it is smaller than the sum of its proper divisors (20978465509320).

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

10110022200120 is a wasteful number, since it uses less digits than its factorization.

10110022200120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1234405 (or 1234401 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10110022200120 its reverse (2100222001101), we get a palindrome (12210244201221).

The spelling of 10110022200120 in words is "ten trillion, one hundred ten billion, twenty-two million, two hundred thousand, one hundred twenty".