101010001100001 has 16 divisors (see below), whose sum is σ = 156087889026048. Its totient is φ = 56907042872400.

The previous prime is 101010001099949. The next prime is 101010001100009. The reversal of 101010001100001 is 100001100010101.

It is not a de Polignac number, because 101010001100001 - 2⁶ = 101010001099937 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101010001100009) 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, 33873238315 + ... + 33873241296.

It is an arithmetic number, because the mean of its divisors is an integer number (9755493064128).

Almost surely, 2^{101010001100001} is an apocalyptic number.

It is an amenable number.

101010001100001 is a deficient number, since it is larger than the sum of its proper divisors (55077887926047).

101010001100001 is an equidigital number, since it uses as much as digits as its factorization.

101010001100001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67746479692.

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

Adding to 101010001100001 its reverse (100001100010101), we get a palindrome (201011101110102).

The spelling of 101010001100001 in words is "one hundred one trillion, ten billion, one million, one hundred thousand, one".