100220122202101 has 16 divisors (see below), whose sum is σ = 111065768956800. Its totient is φ = 89668107020800.

The previous prime is 100220122202089. The next prime is 100220122202113. The reversal of 100220122202101 is 101202221022001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (100220122202089) and next prime (100220122202113).

It is not a de Polignac number, because 100220122202101 - 2²⁵ = 100220088647669 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 (100220122202171) 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, 112317316 + ... + 113206093.

It is an arithmetic number, because the mean of its divisors is an integer number (6941610559800).

Almost surely, 2^{100220122202101} is an apocalyptic number.

100220122202101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100220122202101 is a deficient number, since it is larger than the sum of its proper divisors (10845646754699).

100220122202101 is a wasteful number, since it uses less digits than its factorization.

100220122202101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225524060.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 100220122202101 its reverse (101202221022001), we get a palindrome (201422343224102).

The spelling of 100220122202101 in words is "one hundred trillion, two hundred twenty billion, one hundred twenty-two million, two hundred two thousand, one hundred one".