101210112122112 has 864 divisors, whose sum is σ = 348389275852800. Its totient is φ = 28233438105600.

The previous prime is 101210112122069. The next prime is 101210112122117. The reversal of 101210112122112 is 211221211012101.

It is a happy number.

101210112122112 is a `hidden beast` number, since 101 + 210 + 1 + 121 + 221 + 12 = 666.

It is a super-3 number, since 3×101210112122112³ (a number of 43 digits) contains 333 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 (101210112122117) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16454250237 + ... + 16454256387.

Almost surely, 2^{101210112122112} is an apocalyptic number.

101210112122112 is a gapful number since it is divisible by the number (12) 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 101210112122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174194637926400).

101210112122112 is an abundant number, since it is smaller than the sum of its proper divisors (247179163730688).

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

101210112122112 is an equidigital number, since it uses as much as digits as its factorization.

101210112122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6684 (or 6653 counting only the distinct ones).

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

Adding to 101210112122112 its reverse (211221211012101), we get a palindrome (312431323134213).

The spelling of 101210112122112 in words is "one hundred one trillion, two hundred ten billion, one hundred twelve million, one hundred twenty-two thousand, one hundred twelve".