100122001100101 has 16 divisors (see below), whose sum is σ = 103733635844608. Its totient is φ = 96534510091200.

The previous prime is 100122001100057. The next prime is 100122001100117. The reversal of 100122001100101 is 101001100221001.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100122001100101 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100125001100101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19528471 + ... + 24116491.

It is an arithmetic number, because the mean of its divisors is an integer number (6483352240288).

Almost surely, 2^{100122001100101} is an apocalyptic number.

It is an amenable number.

100122001100101 is a deficient number, since it is larger than the sum of its proper divisors (3611634744507).

100122001100101 is a wasteful number, since it uses less digits than its factorization.

100122001100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4590652.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 100122001100101 its reverse (101001100221001), we get a palindrome (201123101321102).

The spelling of 100122001100101 in words is "one hundred trillion, one hundred twenty-two billion, one million, one hundred thousand, one hundred one".