10110212120120 has 256 divisors, whose sum is σ = 26942896373760. Its totient is φ = 3343201247232.

The previous prime is 10110212120093. The next prime is 10110212120123. The reversal of 10110212120120 is 2102121201101.

It is a super-2 number, since 2×10110212120120² (a number of 27 digits) contains 22 as substring.

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 = 10110212120095 and 10110212120104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10110212120123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 187591817 + ... + 187645703.

It is an arithmetic number, because the mean of its divisors is an integer number (105245688960).

Almost surely, 2^{10110212120120} is an apocalyptic number.

10110212120120 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 10110212120120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13471448186880).

10110212120120 is an abundant number, since it is smaller than the sum of its proper divisors (16832684253640).

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

10110212120120 is a wasteful number, since it uses less digits than its factorization.

10110212120120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54182 (or 54178 counting only the distinct ones).

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

Adding to 10110212120120 its reverse (2102121201101), we get a palindrome (12212333321221).

The spelling of 10110212120120 in words is "ten trillion, one hundred ten billion, two hundred twelve million, one hundred twenty thousand, one hundred twenty".