1010112110120 has 64 divisors (see below), whose sum is σ = 2317392458640. Its totient is φ = 396151142400.

The previous prime is 1010112110107. The next prime is 1010112110129. The reversal of 1010112110120 is 210112110101.

It can be written as a sum of positive squares in 8 ways, for example, as 185462867716 + 824649242404 = 430654^2 + 908102^2 .

It is a super-2 number, since 2×1010112110120² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1010112110129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102410 + ... + 1425030.

Almost surely, 2^{1010112110120} is an apocalyptic number.

1010112110120 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 1010112110120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1158696229320).

1010112110120 is an abundant number, since it is smaller than the sum of its proper divisors (1307280348520).

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

1010112110120 is a wasteful number, since it uses less digits than its factorization.

1010112110120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1323006 (or 1323002 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 1010112110120 its reverse (210112110101), we get a palindrome (1220224220221).

The spelling of 1010112110120 in words is "one trillion, ten billion, one hundred twelve million, one hundred ten thousand, one hundred twenty".