101250100 has 72 divisors (see below), whose sum is σ = 253594880. Its totient is φ = 34369920.

The previous prime is 101250073. The next prime is 101250101. The reversal of 101250100 is 1052101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101250101) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 75637 + ... + 76963.

Almost surely, 2^101250100 is an apocalyptic number.

101250100 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 101250100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126797440).

101250100 is an abundant number, since it is smaller than the sum of its proper divisors (152344780).

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

101250100 is a wasteful number, since it uses less digits than its factorization.

101250100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1457 (or 1450 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 10.

The square root of 101250100 is about 10062.3108677878. The cubic root of 101250100 is about 466.0850293366.

The spelling of 101250100 in words is "one hundred one million, two hundred fifty thousand, one hundred".