100122012120222 has 48 divisors (see below), whose sum is σ = 221568601700160. Its totient is φ = 32660672060736.

The previous prime is 100122012120203. The next prime is 100122012120233. The reversal of 100122012120222 is 222021210221001.

It is a happy number.

100122012120222 is a `hidden beast` number, since 10 + 0 + 1 + 220 + 1 + 212 + 0 + 222 = 666.

It is a super-2 number, since 2×100122012120222² (a number of 29 digits) contains 22 as substring.

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 = 100122012120195 and 100122012120204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2641548 + ... + 14395200.

It is an arithmetic number, because the mean of its divisors is an integer number (4616012535420).

Almost surely, 2^{100122012120222} is an apocalyptic number.

100122012120222 is an abundant number, since it is smaller than the sum of its proper divisors (121446589579938).

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

100122012120222 is a wasteful number, since it uses less digits than its factorization.

100122012120222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11763777 (or 11763774 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 100122012120222 its reverse (222021210221001), we get a palindrome (322143222341223).

The spelling of 100122012120222 in words is "one hundred trillion, one hundred twenty-two billion, twelve million, one hundred twenty thousand, two hundred twenty-two".