101200100 has 36 divisors (see below), whose sum is σ = 221889444. Its totient is φ = 40058880.

The previous prime is 101200091. The next prime is 101200109. The reversal of 101200100 is 1002101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (101200091) and next prime (101200109).

It can be written as a sum of positive squares in 6 ways, for example, as 879844 + 100320256 = 938^2 + 10016^2 .

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101200109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4484 + ... + 14916.

Almost surely, 2^101200100 is an apocalyptic number.

101200100 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 101200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110944722).

101200100 is an abundant number, since it is smaller than the sum of its proper divisors (120689344).

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

101200100 is a wasteful number, since it uses less digits than its factorization.

101200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10544 (or 10537 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 5.

The square root of 101200100 is about 10059.8260422335. The cubic root of 101200100 is about 466.0082949643.

Adding to 101200100 its reverse (1002101), we get a palindrome (102202201).

The spelling of 101200100 in words is "one hundred one million, two hundred thousand, one hundred".