10110102122120 has 768 divisors, whose sum is σ = 31796044922880. Its totient is φ = 2806526361600.

The previous prime is 10110102122101. The next prime is 10110102122207. The reversal of 10110102122120 is 2122120101101.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 10110102122095 and 10110102122104.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6986939237 + ... + 6986940683.

It is an arithmetic number, because the mean of its divisors is an integer number (41401100160).

Almost surely, 2^{10110102122120} is an apocalyptic number.

10110102122120 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 10110102122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15898022461440).

10110102122120 is an abundant number, since it is smaller than the sum of its proper divisors (21685942800760).

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

10110102122120 is a wasteful number, since it uses less digits than its factorization.

10110102122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1966 (or 1949 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10110102122120 its reverse (2122120101101), we get a palindrome (12232222223221).

The spelling of 10110102122120 in words is "ten trillion, one hundred ten billion, one hundred two million, one hundred twenty-two thousand, one hundred twenty".