100111010001 has 48 divisors (see below), whose sum is σ = 140415022080. Its totient is φ = 63390539520.

The previous prime is 100111009979. The next prime is 100111010003. The reversal of 100111010001 is 100010111001.

It is not a de Polignac number, because 100111010001 - 2¹⁵ = 100110977233 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100111010003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68055696 + ... + 68057166.

It is an arithmetic number, because the mean of its divisors is an integer number (2925312960).

Almost surely, 2^100111010001 is an apocalyptic number.

It is an amenable number.

100111010001 is a deficient number, since it is larger than the sum of its proper divisors (40304012079).

100111010001 is an equidigital number, since it uses as much as digits as its factorization.

100111010001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1766 (or 1683 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 100111010001 its reverse (100010111001), we get a palindrome (200121121002).

The spelling of 100111010001 in words is "one hundred billion, one hundred eleven million, ten thousand, one".