101000101000101 has 32 divisors (see below), whose sum is σ = 143161189670400. Its totient is φ = 63156567412800.

The previous prime is 101000101000091. The next prime is 101000101000121.

101000101000101 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 101000101000101 - 2¹¹ = 101000100998053 is a prime.

101000101000101 is a strobogrammatic number because it is the same when read upside-down.

101000101000101 is a modest number, since divided by 101000101 gives 101 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 101000101000101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101000101000121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 302530470 + ... + 302864136.

It is an arithmetic number, because the mean of its divisors is an integer number (4473787177200).

Almost surely, 2^{101000101000101} is an apocalyptic number.

It is an amenable number.

101000101000101 is a deficient number, since it is larger than the sum of its proper divisors (42161088670299).

101000101000101 is a wasteful number, since it uses less digits than its factorization.

101000101000101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386369.

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

It can be divided in two parts, 10100010 and 1000101, that added together give a palindrome (11100111).

The spelling of 101000101000101 in words is "one hundred one trillion, one hundred one million, one hundred one", and thus it is an aban number.