100112211102222 has 48 divisors (see below), whose sum is σ = 236827210911408. Its totient is φ = 30311604397440.

The previous prime is 100112211102173. The next prime is 100112211102223. The reversal of 100112211102222 is 222201112211001.

100112211102222 is a `hidden beast` number, since 100 + 11 + 221 + 110 + 2 + 222 = 666.

It is a super-2 number, since 2×100112211102222² (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 = 100112211102195 and 100112211102204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100112211102223) 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, 211673773 + ... + 212146200.

It is an arithmetic number, because the mean of its divisors is an integer number (4933900227321).

Almost surely, 2^{100112211102222} is an apocalyptic number.

100112211102222 is an abundant number, since it is smaller than the sum of its proper divisors (136714999809186).

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

100112211102222 is a wasteful number, since it uses less digits than its factorization.

100112211102222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423821185 (or 423821182 counting only the distinct ones).

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

Adding to 100112211102222 its reverse (222201112211001), we get a palindrome (322313323313223).

The spelling of 100112211102222 in words is "one hundred trillion, one hundred twelve billion, two hundred eleven million, one hundred two thousand, two hundred twenty-two".