101010000010101 has 128 divisors (see below), whose sum is σ = 171980247892992. Its totient is φ = 51310402560000.

The previous prime is 101010000010093. The next prime is 101010000010103.

101010000010101 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 101010000010101 - 2³ = 101010000010093 is a prime.

101010000010101 is a strobogrammatic number because it is the same when read upside-down.

It is a self number, because there is not a number n which added to its sum of digits gives 101010000010101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101010000010103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3612517761 + ... + 3612545721.

It is an arithmetic number, because the mean of its divisors is an integer number (1343595686664).

Almost surely, 2^{101010000010101} is an apocalyptic number.

It is an amenable number.

101010000010101 is a deficient number, since it is larger than the sum of its proper divisors (70970247882891).

101010000010101 is a wasteful number, since it uses less digits than its factorization.

101010000010101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31663.

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

It can be divided in two parts, 1010100000 and 10101, that added together give a palindrome (1010110101).

The spelling of 101010000010101 in words is "one hundred one trillion, ten billion, ten thousand, one hundred one".