101213312112 has 120 divisors (see below), whose sum is σ = 318975441408. Its totient is φ = 29681308800.

The previous prime is 101213312111. The next prime is 101213312159. The reversal of 101213312112 is 211213312101.

101213312112 is a `hidden beast` number, since 1 + 0 + 121 + 331 + 211 + 2 = 666.

It is a super-2 number, since 2×101213312112² (a number of 23 digits) contains 22 as substring.

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 (101213312111) 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, 981498 + ... + 1079705.

Almost surely, 2^101213312112 is an apocalyptic number.

101213312112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101213312112 is an abundant number, since it is smaller than the sum of its proper divisors (217762129296).

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

101213312112 is a wasteful number, since it uses less digits than its factorization.

101213312112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2061259 (or 2061250 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 101213312112 its reverse (211213312101), we get a palindrome (312426624213).

It can be divided in two parts, 10121 and 3312112, that added together give a palindrome (3322233).

The spelling of 101213312112 in words is "one hundred one billion, two hundred thirteen million, three hundred twelve thousand, one hundred twelve".