100221011001 has 24 divisors (see below), whose sum is σ = 148919056520. Its totient is φ = 64902041856.

The previous prime is 100221010987. The next prime is 100221011113. The reversal of 100221011001 is 100110122001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 13594394025 + 86626616976 = 116595^2 + 294324^2 .

It is not a de Polignac number, because 100221011001 - 2¹³ = 100221002809 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100221016001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41356 + ... + 449613.

Almost surely, 2^100221011001 is an apocalyptic number.

It is an amenable number.

100221011001 is a deficient number, since it is larger than the sum of its proper divisors (48698045519).

100221011001 is a wasteful number, since it uses less digits than its factorization.

100221011001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491625 (or 491622 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100221011001 its reverse (100110122001), we get a palindrome (200331133002).

The spelling of 100221011001 in words is "one hundred billion, two hundred twenty-one million, eleven thousand, one".