100112201112122 has 8 divisors (see below), whose sum is σ = 150168966311700. Its totient is φ = 50055879008224.

The previous prime is 100112201112107. The next prime is 100112201112127. The reversal of 100112201112122 is 221211102211001.

It can be written as a sum of positive squares in 2 ways, for example, as 84352817615641 + 15759383496481 = 9184379^2 + 3969809^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a super-2 number, since 2×100112201112122² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100112201112122.

It is not an unprimeable number, because it can be changed into a prime (100112201112127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 110208497 + ... + 111113172.

Almost surely, 2^{100112201112122} is an apocalyptic number.

100112201112122 is a deficient number, since it is larger than the sum of its proper divisors (50056765199578).

100112201112122 is a wasteful number, since it uses less digits than its factorization.

100112201112122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221547840.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 100112201112122 its reverse (221211102211001), we get a palindrome (321323303323123).

The spelling of 100112201112122 in words is "one hundred trillion, one hundred twelve billion, two hundred one million, one hundred twelve thousand, one hundred twenty-two".