100100122202101 has 8 divisors (see below), whose sum is σ = 114402110875200. Its totient is φ = 85798626332928.

The previous prime is 100100122202063. The next prime is 100100122202107. The reversal of 100100122202101 is 101202221001001.

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

It is a cyclic number.

It is not a de Polignac number, because 100100122202101 - 2¹⁷ = 100100122071029 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 (100100122202107) 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, 122765611 + ... + 123578296.

It is an arithmetic number, because the mean of its divisors is an integer number (14300263859400).

Almost surely, 2^{100100122202101} is an apocalyptic number.

It is an amenable number.

100100122202101 is a deficient number, since it is larger than the sum of its proper divisors (14301988673099).

100100122202101 is an equidigital number, since it uses as much as digits as its factorization.

100100122202101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246401963.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 100100122202101 its reverse (101202221001001), we get a palindrome (201302343203102).

The spelling of 100100122202101 in words is "one hundred trillion, one hundred billion, one hundred twenty-two million, two hundred two thousand, one hundred one".