101327100 has 216 divisors, whose sum is σ = 349696368. Its totient is φ = 22579200.

The previous prime is 101327099. The next prime is 101327111. The reversal of 101327100 is 1723101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 101327100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 896644 + ... + 896756.

Almost surely, 2^101327100 is an apocalyptic number.

101327100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101327100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174848184).

101327100 is an abundant number, since it is smaller than the sum of its proper divisors (248369268).

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

101327100 is a wasteful number, since it uses less digits than its factorization.

101327100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 15.

The square root of 101327100 is about 10066.1362994945. The cubic root of 101327100 is about 466.2031508774.

The spelling of 101327100 in words is "one hundred one million, three hundred twenty-seven thousand, one hundred".