101000200 has 96 divisors (see below), whose sum is σ = 282571200. Its totient is φ = 32797440.

The previous prime is 101000197. The next prime is 101000203. The reversal of 101000200 is 2000101.

It is an interprime number because it is at equal distance from previous prime (101000197) and next prime (101000203).

It is a Harshad number since it is a multiple of its sum of digits (4).

It is a self number, because there is not a number n which added to its sum of digits gives 101000200.

It is not an unprimeable number, because it can be changed into a prime (101000203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24702 + ... + 28498.

It is an arithmetic number, because the mean of its divisors is an integer number (2943450).

Almost surely, 2^101000200 is an apocalyptic number.

101000200 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 101000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141285600).

101000200 is an abundant number, since it is smaller than the sum of its proper divisors (181571000).

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

101000200 is a wasteful number, since it uses less digits than its factorization.

101000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3839 (or 3830 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 4.

The square root of 101000200 is about 10049.8855714879. The cubic root of 101000200 is about 465.7012581735.

Adding to 101000200 its reverse (2000101), we get a palindrome (103000301).

Subtracting from 101000200 its reverse (2000101), we obtain a palindrome (99000099).

The spelling of 101000200 in words is "one hundred one million, two hundred", and thus it is an aban number.