100221111110001 has 32 divisors (see below), whose sum is σ = 160824338099200. Its totient is φ = 54231861078720.

The previous prime is 100221111109993. The next prime is 100221111110129. The reversal of 100221111110001 is 100011111122001.

It is not a de Polignac number, because 100221111110001 - 2³ = 100221111109993 is a prime.

It is a super-2 number, since 2×100221111110001² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100221111110401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52714111 + ... + 54582228.

It is an arithmetic number, because the mean of its divisors is an integer number (5025760565600).

Almost surely, 2^{100221111110001} is an apocalyptic number.

It is an amenable number.

100221111110001 is a deficient number, since it is larger than the sum of its proper divisors (60603226989199).

100221111110001 is a wasteful number, since it uses less digits than its factorization.

100221111110001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107298709.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 100221111110001 its reverse (100011111122001), we get a palindrome (200232222232002).

The spelling of 100221111110001 in words is "one hundred trillion, two hundred twenty-one billion, one hundred eleven million, one hundred ten thousand, one".