101452505254101 has 24 divisors (see below), whose sum is σ = 150502619456280. Its totient is φ = 65815740979200.

The previous prime is 101452505254049. The next prime is 101452505254103.

101452505254101 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 5 + 25 + 0 + 525 + 4 + 101 = 666.

101452505254101 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 11050631414001 + 90401873840100 = 3324249^2 + 9507990^2 .

It is not a de Polignac number, because 101452505254101 - 2¹³ = 101452505245909 is a prime.

It is a super-2 number, since 2×101452505254101² (a number of 29 digits) contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101452505254103) 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, 353248540 + ... + 353535621.

It is an arithmetic number, because the mean of its divisors is an integer number (6270942477345).

Almost surely, 2^{101452505254101} is an apocalyptic number.

It is an amenable number.

101452505254101 is a deficient number, since it is larger than the sum of its proper divisors (49050114202179).

101452505254101 is a wasteful number, since it uses less digits than its factorization.

101452505254101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 706784597 (or 706784594 counting only the distinct ones).

The product of its (nonzero) digits is 40000, while the sum is 36.

It can be divided in two parts, 10145250 and 5254101, that added together give a palindrome (15399351).

The spelling of 101452505254101 in words is "one hundred one trillion, four hundred fifty-two billion, five hundred five million, two hundred fifty-four thousand, one hundred one".