101136261443503 has 64 divisors (see below), whose sum is σ = 121539566776320. Its totient is φ = 82947324096000.

The previous prime is 101136261443491. The next prime is 101136261443543. The reversal of 101136261443503 is 305344162631101.

It is a de Polignac number, because none of the positive numbers 2^k-101136261443503 is a prime.

It is a super-2 number, since 2×101136261443503² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101136261443543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (37) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8131879401 + ... + 8131891837.

It is an arithmetic number, because the mean of its divisors is an integer number (1899055730880).

Almost surely, 2^{101136261443503} is an apocalyptic number.

101136261443503 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

101136261443503 is a deficient number, since it is larger than the sum of its proper divisors (20403305332817).

101136261443503 is a wasteful number, since it uses less digits than its factorization.

101136261443503 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19768.

The product of its (nonzero) digits is 155520, while the sum is 40.

The spelling of 101136261443503 in words is "one hundred one trillion, one hundred thirty-six billion, two hundred sixty-one million, four hundred forty-three thousand, five hundred three".