100122110121122 has 24 divisors (see below), whose sum is σ = 151058907277068. Its totient is φ = 49769497175040.

The previous prime is 100122110121119. The next prime is 100122110121181. The reversal of 100122110121122 is 221121011221001.

It can be written as a sum of positive squares in 2 ways, for example, as 95208435465361 + 4913674655761 = 9757481^2 + 2216681^2 .

It is a super-3 number, since 3×100122110121122³ (a number of 43 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100122110121122.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 952611278 + ... + 952716374.

Almost surely, 2^{100122110121122} is an apocalyptic number.

100122110121122 is a deficient number, since it is larger than the sum of its proper divisors (50936797155946).

100122110121122 is an equidigital number, since it uses as much as digits as its factorization.

100122110121122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108434 (or 106863 counting only the distinct ones).

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

Adding to 100122110121122 its reverse (221121011221001), we get a palindrome (321243121342123).

The spelling of 100122110121122 in words is "one hundred trillion, one hundred twenty-two billion, one hundred ten million, one hundred twenty-one thousand, one hundred twenty-two".