100100220011001 has 40 divisors (see below), whose sum is σ = 170932040706240. Its totient is φ = 57187460957472.

The previous prime is 100100220010991. The next prime is 100100220011131. The reversal of 100100220011001 is 100110022001001.

It is a happy number.

It is not a de Polignac number, because 100100220011001 - 2²³ = 100100211622393 is a prime.

It is a super-2 number, since 2×100100220011001² (a number of 29 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (100100220011501) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 16980991 + ... + 22103268.

It is an arithmetic number, because the mean of its divisors is an integer number (4273301017656).

Almost surely, 2^{100100220011001} is an apocalyptic number.

It is an amenable number.

100100220011001 is a deficient number, since it is larger than the sum of its proper divisors (70831820695239).

100100220011001 is an equidigital number, since it uses as much as digits as its factorization.

100100220011001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39088795 (or 39088786 counting only the distinct ones).

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

Adding to 100100220011001 its reverse (100110022001001), we get a palindrome (200210242012002).

The spelling of 100100220011001 in words is "one hundred trillion, one hundred billion, two hundred twenty million, eleven thousand, one".