101112120112212 has 72 divisors (see below), whose sum is σ = 278826307093152. Its totient is φ = 30639819268800.

The previous prime is 101112120112177. The next prime is 101112120112217. The reversal of 101112120112212 is 212211021211101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101112120112217) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60262162 + ... + 61917302.

It is an arithmetic number, because the mean of its divisors is an integer number (3872587598516).

Almost surely, 2^{101112120112212} is an apocalyptic number.

101112120112212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101112120112212 is an abundant number, since it is smaller than the sum of its proper divisors (177714186980940).

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

101112120112212 is a wasteful number, since it uses less digits than its factorization.

101112120112212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1809429 (or 1809424 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 101112120112212 its reverse (212211021211101), we get a palindrome (313323141323313).

The spelling of 101112120112212 in words is "one hundred one trillion, one hundred twelve billion, one hundred twenty million, one hundred twelve thousand, two hundred twelve".