101004553566 has 48 divisors (see below), whose sum is σ = 253629163008. Its totient is φ = 28451984400.

The previous prime is 101004553561. The next prime is 101004553579. The reversal of 101004553566 is 665355400101.

101004553566 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 0 + 45 + 53 + 566 = 666.

101004553566 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 101004553566.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101004553561) 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, 5636290 + ... + 5654181.

It is an arithmetic number, because the mean of its divisors is an integer number (5283940896).

Almost surely, 2^101004553566 is an apocalyptic number.

101004553566 is an abundant number, since it is smaller than the sum of its proper divisors (152624609442).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101004553566 is a wasteful number, since it uses less digits than its factorization.

101004553566 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11290557 (or 11290554 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

Adding to 101004553566 its reverse (665355400101), we get a palindrome (766359953667).

It can be divided in two parts, 1010045 and 53566, that added together give a triangular number (1063611 = T₁₄₅₈).

The spelling of 101004553566 in words is "one hundred one billion, four million, five hundred fifty-three thousand, five hundred sixty-six".