101504405101 has 24 divisors (see below), whose sum is σ = 113462750072. Its totient is φ = 90713779200.

The previous prime is 101504405099. The next prime is 101504405113.

It is a happy number.

101504405101 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 206066025 + 101298339076 = 14355^2 + 318274^2 .

It is not a de Polignac number, because 101504405101 - 2¹ = 101504405099 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101504405201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21793765 + ... + 21798421.

Almost surely, 2^101504405101 is an apocalyptic number.

101504405101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101504405101 is a deficient number, since it is larger than the sum of its proper divisors (11958344971).

101504405101 is a wasteful number, since it uses less digits than its factorization.

101504405101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7693 (or 7682 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 22.

It can be divided in two parts, 101504 and 405101, that added together give a palindrome (506605).

The spelling of 101504405101 in words is "one hundred one billion, five hundred four million, four hundred five thousand, one hundred one".