101112120012120 has 128 divisors (see below), whose sum is σ = 347561309721600. Its totient is φ = 23051929453056.

The previous prime is 101112120012119. The next prime is 101112120012121. The reversal of 101112120012120 is 21210021211101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (101112120012119) and next prime (101112120012121).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 101112120012120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101112120012121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 154392484 + ... + 155046003.

It is an arithmetic number, because the mean of its divisors is an integer number (2715322732200).

Almost surely, 2^{101112120012120} is an apocalyptic number.

101112120012120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101112120012120 is an abundant number, since it is smaller than the sum of its proper divisors (246449189709480).

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

101112120012120 is a wasteful number, since it uses less digits than its factorization.

101112120012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309438897 (or 309438893 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 101112120012120 its reverse (21210021211101), we get a palindrome (122322141223221).

The spelling of 101112120012120 in words is "one hundred one trillion, one hundred twelve billion, one hundred twenty million, twelve thousand, one hundred twenty".