100122100122101 has 8 divisors (see below), whose sum is σ = 102771004903608. Its totient is φ = 97505697240000.

The previous prime is 100122100122073. The next prime is 100122100122157. The reversal of 100122100122101 is 101221001221001.

It can be written as a sum of positive squares in 4 ways, for example, as 1111440954001 + 99010659168100 = 1054249^2 + 9950410^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100122100122101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100122100121101) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8125468610 + ... + 8125480931.

It is an arithmetic number, because the mean of its divisors is an integer number (12846375612951).

Almost surely, 2^{100122100122101} is an apocalyptic number.

It is an amenable number.

100122100122101 is a deficient number, since it is larger than the sum of its proper divisors (2648904781507).

100122100122101 is a wasteful number, since it uses less digits than its factorization.

100122100122101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16250949703.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 100122100122101 its reverse (101221001221001), we get a palindrome (201343101343102).

The spelling of 100122100122101 in words is "one hundred trillion, one hundred twenty-two billion, one hundred million, one hundred twenty-two thousand, one hundred one".