101958476307601 has 9 divisors (see below), whose sum is σ = 102054623865649. Its totient is φ = 101862419275264.

The previous prime is 101958476307547. The next prime is 101958476307619. The reversal of 101958476307601 is 106703674859101.

It is a happy number.

The square root of 101958476307601 is 10097449.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 26057441413201 + 75901034894400 = 5104649^2 + 8712120^2 .

It is not a de Polignac number, because 101958476307601 - 2²⁵ = 101958442753169 is a prime.

It is a super-3 number, since 3×101958476307601³ (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101958476307001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 12288591285 + ... + 12288599581.

Almost surely, 2^{101958476307601} is an apocalyptic number.

101958476307601 is the 10097449-th square number.

101958476307601 is the 5048725-th centered octagonal number.

It is an amenable number.

101958476307601 is a deficient number, since it is larger than the sum of its proper divisors (96147558048).

101958476307601 is an frugal number, since it uses more digits than its factorization.

101958476307601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19028 (or 9514 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 58.

The spelling of 101958476307601 in words is "one hundred one trillion, nine hundred fifty-eight billion, four hundred seventy-six million, three hundred seven thousand, six hundred one".