100221100211001 has 64 divisors (see below), whose sum is σ = 168281518344192. Its totient is φ = 51538032000000.

The previous prime is 100221100210981. The next prime is 100221100211017. The reversal of 100221100211001 is 100112001122001.

It is not a de Polignac number, because 100221100211001 - 2⁵ = 100221100210969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100221100211021) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 128421426 + ... + 129199476.

It is an arithmetic number, because the mean of its divisors is an integer number (2629398724128).

Almost surely, 2^{100221100211001} is an apocalyptic number.

100221100211001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100221100211001 is a deficient number, since it is larger than the sum of its proper divisors (68060418133191).

100221100211001 is a wasteful number, since it uses less digits than its factorization.

100221100211001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 783694.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 100221100211001 its reverse (100112001122001), we get a palindrome (200333101333002).

The spelling of 100221100211001 in words is "one hundred trillion, two hundred twenty-one billion, one hundred million, two hundred eleven thousand, one".