100221211001 has 16 divisors (see below), whose sum is σ = 111735288000. Its totient is φ = 89334425088.

The previous prime is 100221210989. The next prime is 100221211003. The reversal of 100221211001 is 100112122001.

It is a cyclic number.

It is not a de Polignac number, because 100221211001 - 2⁶ = 100221210937 is a prime.

It is a super-2 number, since 2×100221211001² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100221211003) 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, 1069046 + ... + 1159008.

It is an arithmetic number, because the mean of its divisors is an integer number (6983455500).

Almost surely, 2^100221211001 is an apocalyptic number.

It is an amenable number.

100221211001 is a deficient number, since it is larger than the sum of its proper divisors (11514076999).

100221211001 is a wasteful number, since it uses less digits than its factorization.

100221211001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93448.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 100221211001 its reverse (100112122001), we get a palindrome (200333333002).

The spelling of 100221211001 in words is "one hundred billion, two hundred twenty-one million, two hundred eleven thousand, one".