101450054101 has 16 divisors (see below), whose sum is σ = 112887614016. Its totient is φ = 90392400000.

The previous prime is 101450054099. The next prime is 101450054107.

It is a happy number.

101450054101 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 101450054101 - 2¹ = 101450054099 is a prime.

It is a super-2 number, since 2×101450054101² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101450054107) 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, 80475 + ... + 457576.

It is an arithmetic number, because the mean of its divisors is an integer number (7055475876).

Almost surely, 2^101450054101 is an apocalyptic number.

101450054101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101450054101 is a deficient number, since it is larger than the sum of its proper divisors (11437559915).

101450054101 is a wasteful number, since it uses less digits than its factorization.

101450054101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538404.

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

It can be divided in two parts, 1014500 and 54101, that added together give a palindrome (1068601).

The spelling of 101450054101 in words is "one hundred one billion, four hundred fifty million, fifty-four thousand, one hundred one".