100101000100122 has 96 divisors (see below), whose sum is σ = 251297248500480. Its totient is φ = 28204836906240.

The previous prime is 100101000100117. The next prime is 100101000100159. The reversal of 100101000100122 is 221001000101001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

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, 70498779 + ... + 71904657.

It is an arithmetic number, because the mean of its divisors is an integer number (2617679671880).

Almost surely, 2^{100101000100122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100101000100122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125648624250240).

100101000100122 is an abundant number, since it is smaller than the sum of its proper divisors (151196248400358).

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

100101000100122 is a wasteful number, since it uses less digits than its factorization.

100101000100122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1413708 (or 1413705 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100101000100122 its reverse (221001000101001), we get a palindrome (321102000201123).

The spelling of 100101000100122 in words is "one hundred trillion, one hundred one billion, one hundred thousand, one hundred twenty-two".