100221211001001 has 16 divisors (see below), whose sum is σ = 134234766794304. Its totient is φ = 66510976072704.

The previous prime is 100221211000997. The next prime is 100221211001027. The reversal of 100221211001001 is 100100112122001.

It is not a de Polignac number, because 100221211001001 - 2² = 100221211000997 is a prime.

It is a super-2 number, since 2×100221211001001² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100221211071001) 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, 4630320 + ... + 14895713.

It is an arithmetic number, because the mean of its divisors is an integer number (8389672924644).

Almost surely, 2^{100221211001001} is an apocalyptic number.

It is an amenable number.

100221211001001 is a deficient number, since it is larger than the sum of its proper divisors (34013555793303).

100221211001001 is a wasteful number, since it uses less digits than its factorization.

100221211001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19533800.

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

Adding to 100221211001001 its reverse (100100112122001), we get a palindrome (200321323123002).

The spelling of 100221211001001 in words is "one hundred trillion, two hundred twenty-one billion, two hundred eleven million, one thousand, one".