100122102220122 has 96 divisors (see below), whose sum is σ = 225152825303952. Its totient is φ = 32128453619712.

The previous prime is 100122102220111. The next prime is 100122102220139. The reversal of 100122102220122 is 221022201221001.

It is a happy number.

100122102220122 is a `hidden beast` number, since 100 + 1 + 221 + 0 + 2 + 220 + 122 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 88520455577961 + 11601646642161 = 9408531^2 + 3406119^2 .

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 = 100122102220095 and 100122102220104.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 237330808 + ... + 237752300.

Almost surely, 2^{100122102220122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100122102220122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112576412651976).

100122102220122 is an abundant number, since it is smaller than the sum of its proper divisors (125030723083830).

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

100122102220122 is a wasteful number, since it uses less digits than its factorization.

100122102220122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425312 (or 425309 counting only the distinct ones).

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

Adding to 100122102220122 its reverse (221022201221001), we get a palindrome (321144303441123).

It can be divided in two parts, 1001 and 22102220122, that multiplied together give a palindrome (22124322342122).

The spelling of 100122102220122 in words is "one hundred trillion, one hundred twenty-two billion, one hundred two million, two hundred twenty thousand, one hundred twenty-two".