100101022220101 has 16 divisors (see below), whose sum is σ = 114466532097024. Its totient is φ = 85751855472384.

The previous prime is 100101022220093. The next prime is 100101022220119. The reversal of 100101022220101 is 101022220101001.

It is a cyclic number.

It is not a de Polignac number, because 100101022220101 - 2³ = 100101022220093 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 (100101022820101) 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, 984294411 + ... + 984396103.

It is an arithmetic number, because the mean of its divisors is an integer number (7154158256064).

Almost surely, 2^{100101022220101} is an apocalyptic number.

It is an amenable number.

100101022220101 is a deficient number, since it is larger than the sum of its proper divisors (14365509876923).

100101022220101 is a wasteful number, since it uses less digits than its factorization.

100101022220101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180660.

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

Adding to 100101022220101 its reverse (101022220101001), we get a palindrome (201123242321102).

The spelling of 100101022220101 in words is "one hundred trillion, one hundred one billion, twenty-two million, two hundred twenty thousand, one hundred one".