101001000111001 has 8 divisors (see below), whose sum is σ = 101090806792704. Its totient is φ = 100911232406400.

The previous prime is 101001000110939. The next prime is 101001000111029. The reversal of 101001000111001 is 100111000100101.

It is a happy number.

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 101001000111001 - 2²⁷ = 101000865893273 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101001004111001) 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, 4558165 + ... + 14925778.

It is an arithmetic number, because the mean of its divisors is an integer number (12636350849088).

Almost surely, 2^{101001000111001} is an apocalyptic number.

It is an amenable number.

101001000111001 is a deficient number, since it is larger than the sum of its proper divisors (89806681703).

101001000111001 is a wasteful number, since it uses less digits than its factorization.

101001000111001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19488551.

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

Adding to 101001000111001 its reverse (100111000100101), we get a palindrome (201112000211102).

The spelling of 101001000111001 in words is "one hundred one trillion, one billion, one hundred eleven thousand, one".