101212112002122 has 96 divisors (see below), whose sum is σ = 241528608509760. Its totient is φ = 30375713007360.

The previous prime is 101212112002069. The next prime is 101212112002217. The reversal of 101212112002122 is 221200211212101.

101212112002122 is a `hidden beast` number, since 10 + 121 + 211 + 200 + 2 + 122 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 101212112002095 and 101212112002104.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48553033 + ... + 50594675.

It is an arithmetic number, because the mean of its divisors is an integer number (2515923005310).

Almost surely, 2^{101212112002122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101212112002122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120764304254880).

101212112002122 is an abundant number, since it is smaller than the sum of its proper divisors (140316496507638).

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

101212112002122 is a wasteful number, since it uses less digits than its factorization.

101212112002122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2044068 (or 2044065 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 101212112002122 its reverse (221200211212101), we get a palindrome (322412323214223).

The spelling of 101212112002122 in words is "one hundred one trillion, two hundred twelve billion, one hundred twelve million, two thousand, one hundred twenty-two".