101010000101001 has 16 divisors (see below), whose sum is σ = 136070687094528. Its totient is φ = 66645217584000.

The previous prime is 101010000100981. The next prime is 101010000101041. The reversal of 101010000101001 is 100101000010101.

It is not a de Polignac number, because 101010000101001 - 2⁶ = 101010000100937 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101010000101041) 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, 69403105 + ... + 70843566.

It is an arithmetic number, because the mean of its divisors is an integer number (8504417943408).

Almost surely, 2^{101010000101001} is an apocalyptic number.

It is an amenable number.

101010000101001 is a deficient number, since it is larger than the sum of its proper divisors (35060686993527).

101010000101001 is a wasteful number, since it uses less digits than its factorization.

101010000101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140249152.

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

Adding to 101010000101001 its reverse (100101000010101), we get a palindrome (201111000111102).

It can be divided in two parts, 10101000010100 and 1, that added together give a palindrome (10101000010101).

The spelling of 101010000101001 in words is "one hundred one trillion, ten billion, one hundred one thousand, one".