101000001111001 has 8 divisors (see below), whose sum is σ = 101028334609800. Its totient is φ = 100971668434560.

The previous prime is 101000001110989. The next prime is 101000001111007. The reversal of 101000001111001 is 100111100000101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 37022783083225 + 63977218027776 = 6084635^2 + 7998576^2 .

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 101000001111001 - 2⁵ = 101000001110969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101000001111007) 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, 310663191 + ... + 310988131.

It is an arithmetic number, because the mean of its divisors is an integer number (12628541826225).

Almost surely, 2^{101000001111001} is an apocalyptic number.

It is an amenable number.

101000001111001 is a deficient number, since it is larger than the sum of its proper divisors (28333498799).

101000001111001 is an equidigital number, since it uses as much as digits as its factorization.

101000001111001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411179.

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

Adding to 101000001111001 its reverse (100111100000101), we get a palindrome (201111101111102).

The spelling of 101000001111001 in words is "one hundred one trillion, one million, one hundred eleven thousand, one".