100110021001 has 8 divisors (see below), whose sum is σ = 100312292808. Its totient is φ = 99907920000.

The previous prime is 100110020977. The next prime is 100110021019. The reversal of 100110021001 is 100120011001.

It can be written as a sum of positive squares in 4 ways, for example, as 34614974601 + 65495046400 = 186051^2 + 255920^2 .

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 100110021001 - 2⁹ = 100110020489 is a prime.

It is a super-2 number, since 2×100110021001² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100110021041) 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, 1164931 + ... + 1247911.

It is an arithmetic number, because the mean of its divisors is an integer number (12539036601).

Almost surely, 2^100110021001 is an apocalyptic number.

It is an amenable number.

100110021001 is a deficient number, since it is larger than the sum of its proper divisors (202271807).

100110021001 is an equidigital number, since it uses as much as digits as its factorization.

100110021001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85403.

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 100110021001 its reverse (100120011001), we get a palindrome (200230032002).

The spelling of 100110021001 in words is "one hundred billion, one hundred ten million, twenty-one thousand, one".