100100001122221 has 16 divisors (see below), whose sum is σ = 102050303120640. Its totient is φ = 98151999117120.

The previous prime is 100100001122141. The next prime is 100100001122239. The reversal of 100100001122221 is 122221100001001.

It is a cyclic number.

It is not a de Polignac number, because 100100001122221 - 2¹⁷ = 100100000991149 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 (100100001122291) 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, 614130691 + ... + 614293663.

It is an arithmetic number, because the mean of its divisors is an integer number (6378143945040).

Almost surely, 2^{100100001122221} is an apocalyptic number.

It is an amenable number.

100100001122221 is a deficient number, since it is larger than the sum of its proper divisors (1950301998419).

100100001122221 is a wasteful number, since it uses less digits than its factorization.

100100001122221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169956.

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

Adding to 100100001122221 its reverse (122221100001001), we get a palindrome (222321101123222).

The spelling of 100100001122221 in words is "one hundred trillion, one hundred billion, one million, one hundred twenty-two thousand, two hundred twenty-one".