100100221211 has 8 divisors (see below), whose sum is σ = 101625018144. Its totient is φ = 98579574720.

The previous prime is 100100221159. The next prime is 100100221237. The reversal of 100100221211 is 112122001001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100100221211 - 2⁶ = 100100221147 is a prime.

It is a super-2 number, since 2×100100221211² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100100221192 and 100100221201.

It is not an unprimeable number, because it can be changed into a prime (100100221271) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 988991 + ... + 1085496.

It is an arithmetic number, because the mean of its divisors is an integer number (12703127268).

Almost surely, 2^100100221211 is an apocalyptic number.

100100221211 is a deficient number, since it is larger than the sum of its proper divisors (1524796933).

100100221211 is an equidigital number, since it uses as much as digits as its factorization.

100100221211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2075221.

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

Adding to 100100221211 its reverse (112122001001), we get a palindrome (212222222212).

The spelling of 100100221211 in words is "one hundred billion, one hundred million, two hundred twenty-one thousand, two hundred eleven".