101441636541 has 24 divisors (see below), whose sum is σ = 169340783040. Its totient is φ = 57315335616.

The previous prime is 101441636521. The next prime is 101441636603. The reversal of 101441636541 is 145636144101.

101441636541 is a `hidden beast` number, since 1 + 0 + 14 + 4 + 1 + 636 + 5 + 4 + 1 = 666.

It is not a de Polignac number, because 101441636541 - 2⁹ = 101441636029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101441636496 and 101441636505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101441636521) 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, 9040375 + ... + 9051588.

It is an arithmetic number, because the mean of its divisors is an integer number (7055865960).

Almost surely, 2^101441636541 is an apocalyptic number.

It is an amenable number.

101441636541 is a deficient number, since it is larger than the sum of its proper divisors (67899146499).

101441636541 is a wasteful number, since it uses less digits than its factorization.

101441636541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18092065 (or 18092062 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 101441636541 in words is "one hundred one billion, four hundred forty-one million, six hundred thirty-six thousand, five hundred forty-one".