101117541003 has 16 divisors (see below), whose sum is σ = 138193942656. Its totient is φ = 65731760640.

The previous prime is 101117540989. The next prime is 101117541163. The reversal of 101117541003 is 300145711101.

It is not a de Polignac number, because 101117541003 - 2²⁰ = 101116492427 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101117541403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 591958 + ... + 743403.

It is an arithmetic number, because the mean of its divisors is an integer number (8637121416).

Almost surely, 2^101117541003 is an apocalyptic number.

101117541003 is a deficient number, since it is larger than the sum of its proper divisors (37076401653).

101117541003 is a wasteful number, since it uses less digits than its factorization.

101117541003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1335994.

The product of its (nonzero) digits is 420, while the sum is 24.

The spelling of 101117541003 in words is "one hundred one billion, one hundred seventeen million, five hundred forty-one thousand, three".