100110110001001 has 4 divisors (see below), whose sum is σ = 100112569810000. Its totient is φ = 100107650192004.

The previous prime is 100110110000959. The next prime is 100110110001043. The reversal of 100110110001001 is 100100011011001.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is an interprime number because it is at equal distance from previous prime (100110110000959) and next prime (100110110001043).

It is a cyclic number.

It is not a de Polignac number, because 100110110001001 - 2¹⁵ = 100110109968233 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100110110001091) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1229843451 + ... + 1229924848.

It is an arithmetic number, because the mean of its divisors is an integer number (25028142452500).

Almost surely, 2^{100110110001001} is an apocalyptic number.

It is an amenable number.

100110110001001 is a deficient number, since it is larger than the sum of its proper divisors (2459808999).

100110110001001 is an equidigital number, since it uses as much as digits as its factorization.

100110110001001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2459808998.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 100110110001001 its reverse (100100011011001), we get a palindrome (200210121012002).

The spelling of 100110110001001 in words is "one hundred trillion, one hundred ten billion, one hundred ten million, one thousand, one".