100110101001001 has 16 divisors (see below), whose sum is σ = 123404053273984. Its totient is φ = 79084806897024.

The previous prime is 100110101000891. The next prime is 100110101001011. The reversal of 100110101001001 is 100100101011001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 100110101001001 - 2²¹ = 100110098903849 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is not an unprimeable number, because it can be changed into a prime (100110101001011) 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, 855393276 + ... + 855510301.

It is an arithmetic number, because the mean of its divisors is an integer number (7712753329624).

Almost surely, 2^{100110101001001} is an apocalyptic number.

It is an amenable number.

100110101001001 is a deficient number, since it is larger than the sum of its proper divisors (23293952272983).

100110101001001 is a wasteful number, since it uses less digits than its factorization.

100110101001001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1710904240.

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

Adding to 100110101001001 its reverse (100100101011001), we get a palindrome (200210202012002).

The spelling of 100110101001001 in words is "one hundred trillion, one hundred ten billion, one hundred one million, one thousand, one".