100200012 has 48 divisors (see below), whose sum is σ = 256674432. Its totient is φ = 30170880.

The previous prime is 100200011. The next prime is 100200013. The reversal of 100200012 is 210002001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (100200011) and next prime (100200013).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is not an unprimeable number, because it can be changed into a prime (100200011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19188 + ... + 23844.

It is an arithmetic number, because the mean of its divisors is an integer number (5347384).

Almost surely, 2^100200012 is an apocalyptic number.

100200012 is a gapful number since it is divisible by the number (12) 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 100200012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128337216).

100200012 is an abundant number, since it is smaller than the sum of its proper divisors (156474420).

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

100200012 is a wasteful number, since it uses less digits than its factorization.

100200012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4838 (or 4836 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 100200012 is about 10009.9956043946. The cubic root of 100200012 is about 464.4681350946.

Adding to 100200012 its reverse (210002001), we get a palindrome (310202013).

The spelling of 100200012 in words is "one hundred million, two hundred thousand, twelve".