101212110112120 has 64 divisors (see below), whose sum is σ = 262836540619200. Its totient is φ = 34357717708800.

The previous prime is 101212110112109. The next prime is 101212110112151. The reversal of 101212110112120 is 21211011212101.

It is a junction number, because it is equal to n+sod(n) for n = 101212110112094 and 101212110112103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1789436185 + ... + 1789492744.

It is an arithmetic number, because the mean of its divisors is an integer number (4106820947175).

Almost surely, 2^{101212110112120} is an apocalyptic number.

101212110112120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101212110112120 is an abundant number, since it is smaller than the sum of its proper divisors (161624430507080).

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

101212110112120 is a wasteful number, since it uses less digits than its factorization.

101212110112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3578929048 (or 3578929044 counting only the distinct ones).

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

Adding to 101212110112120 its reverse (21211011212101), we get a palindrome (122423121324221).

The spelling of 101212110112120 in words is "one hundred one trillion, two hundred twelve billion, one hundred ten million, one hundred twelve thousand, one hundred twenty".