101135541541 has 8 divisors (see below), whose sum is σ = 106461590400. Its totient is φ = 95809805280.

The previous prime is 101135541527. The next prime is 101135541589. The reversal of 101135541541 is 145145531101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101135541541 - 2⁵ = 101135541509 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101135541341) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 899961 + ... + 1006081.

It is an arithmetic number, because the mean of its divisors is an integer number (13307698800).

Almost surely, 2^101135541541 is an apocalyptic number.

It is an amenable number.

101135541541 is a deficient number, since it is larger than the sum of its proper divisors (5326048859).

101135541541 is a wasteful number, since it uses less digits than its factorization.

101135541541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156299.

The product of its (nonzero) digits is 6000, while the sum is 31.

The spelling of 101135541541 in words is "one hundred one billion, one hundred thirty-five million, five hundred forty-one thousand, five hundred forty-one".