100020100112221 has 8 divisors (see below), whose sum is σ = 100639722927744. Its totient is φ = 99400723726320.

The previous prime is 100020100112159. The next prime is 100020100112227. The reversal of 100020100112221 is 122211001020001.

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 100020100112221 - 2²⁷ = 100019965894493 is a prime.

It is a super-2 number, since 2×100020100112221² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100020100112227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60793105 + ... + 62416678.

It is an arithmetic number, because the mean of its divisors is an integer number (12579965365968).

Almost surely, 2^{100020100112221} is an apocalyptic number.

It is an amenable number.

100020100112221 is a deficient number, since it is larger than the sum of its proper divisors (619622815523).

100020100112221 is a wasteful number, since it uses less digits than its factorization.

100020100112221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123214811.

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

Adding to 100020100112221 its reverse (122211001020001), we get a palindrome (222231101132222).

The spelling of 100020100112221 in words is "one hundred trillion, twenty billion, one hundred million, one hundred twelve thousand, two hundred twenty-one".