100110101001 has 16 divisors (see below), whose sum is σ = 139417774080. Its totient is φ = 63776837520.

The previous prime is 100110100997. The next prime is 100110101011. The reversal of 100110101001 is 100101011001.

It is not a de Polignac number, because 100110101001 - 2² = 100110100997 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100110101011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 626515 + ... + 769896.

It is an arithmetic number, because the mean of its divisors is an integer number (8713610880).

Almost surely, 2^100110101001 is an apocalyptic number.

It is an amenable number.

100110101001 is a deficient number, since it is larger than the sum of its proper divisors (39307673079).

100110101001 is a wasteful number, since it uses less digits than its factorization.

100110101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1397476.

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

Adding to 100110101001 its reverse (100101011001), we get a palindrome (200211112002).

The spelling of 100110101001 in words is "one hundred billion, one hundred ten million, one hundred one thousand, one".