101001100122 has 160 divisors (see below), whose sum is σ = 247789700928. Its totient is φ = 30561732864.

The previous prime is 101001100103. The next prime is 101001100129. The reversal of 101001100122 is 221001100101.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (101001100129) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 68105193 + ... + 68106675.

Almost surely, 2^101001100122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101001100122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123894850464).

101001100122 is an abundant number, since it is smaller than the sum of its proper divisors (146788600806).

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

101001100122 is a wasteful number, since it uses less digits than its factorization.

101001100122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2026 (or 2017 counting only the distinct ones).

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

Adding to 101001100122 its reverse (221001100101), we get a palindrome (322002200223).

The spelling of 101001100122 in words is "one hundred one billion, one million, one hundred thousand, one hundred twenty-two".