101869488900 has 81 divisors (see below), whose sum is σ = 319334268981. Its totient is φ = 27162643680.

The previous prime is 101869488887. The next prime is 101869488907. The reversal of 101869488900 is 9884968101.

The square root of 101869488900 is 319170.

It is a perfect power (a square), and thus also a powerful number.

101869488900 is a `hidden beast` number, since 1 + 0 + 18 + 69 + 488 + 90 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 36673016004 + 65196472896 = 191502^2 + 255336^2 .

It is not an unprimeable number, because it can be changed into a prime (101869488907) 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 26 ways as a sum of consecutive naturals, for example, 9569781 + ... + 9580419.

Almost surely, 2^101869488900 is an apocalyptic number.

101869488900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101869488900 is the 319170-th square number.

It is an amenable number.

101869488900 is an abundant number, since it is smaller than the sum of its proper divisors (217464780081).

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

101869488900 is an equidigital number, since it uses as much as digits as its factorization.

101869488900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21298 (or 10649 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 54.

The spelling of 101869488900 in words is "one hundred one billion, eight hundred sixty-nine million, four hundred eighty-eight thousand, nine hundred".