101061005800 has 48 divisors (see below), whose sum is σ = 238818782700. Its totient is φ = 39761702400.

The previous prime is 101061005797. The next prime is 101061005831. The reversal of 101061005800 is 8500160101.

It can be written as a sum of positive squares in 6 ways, for example, as 29537921956 + 71523083844 = 171866^2 + 267438^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 4129645 + ... + 4154044.

Almost surely, 2^101061005800 is an apocalyptic number.

101061005800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101061005800 is an abundant number, since it is smaller than the sum of its proper divisors (137757776900).

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

101061005800 is a wasteful number, since it uses less digits than its factorization.

101061005800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8283766 (or 8283757 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 22.

Adding to 101061005800 its reverse (8500160101), we get a palindrome (109561165901).

The spelling of 101061005800 in words is "one hundred one billion, sixty-one million, five thousand, eight hundred".