22102110100242 has 24 divisors (see below), whose sum is σ = 47938795695180. Its totient is φ = 7359540729120.

The previous prime is 22102110100241. The next prime is 22102110100247. The reversal of 22102110100242 is 24200101120122.

22102110100242 is a `hidden beast` number, since 2 + 210 + 2 + 110 + 100 + 242 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 21822809477121 + 279300623121 = 4671489^2 + 528489^2 .

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

It is not an unprimeable number, because it can be changed into a prime (22102110100241) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 652424617 + ... + 652458492.

Almost surely, 2^{22102110100242} is an apocalyptic number.

22102110100242 is an abundant number, since it is smaller than the sum of its proper divisors (25836685594938).

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

22102110100242 is a wasteful number, since it uses less digits than its factorization.

22102110100242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1304884058 (or 1304884055 counting only the distinct ones).

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

Adding to 22102110100242 its reverse (24200101120122), we get a palindrome (46302211220364).

The spelling of 22102110100242 in words is "twenty-two trillion, one hundred two billion, one hundred ten million, one hundred thousand, two hundred forty-two".