100012200 has 192 divisors, whose sum is σ = 338073600. Its totient is φ = 24364800.

The previous prime is 100012189. The next prime is 100012217. The reversal of 100012200 is 2210001.

It is a happy number.

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 353259 + ... + 353541.

It is an arithmetic number, because the mean of its divisors is an integer number (1760800).

Almost surely, 2^100012200 is an apocalyptic number.

100012200 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 100012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169036800).

100012200 is an abundant number, since it is smaller than the sum of its proper divisors (238061400).

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

100012200 is a wasteful number, since it uses less digits than its factorization.

100012200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 343 counting only the distinct ones).

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

The square root of 100012200 is about 10000.6099813961. The cubic root of 100012200 is about 464.1777583883.

Adding to 100012200 its reverse (2210001), we get a palindrome (102222201).

The spelling of 100012200 in words is "one hundred million, twelve thousand, two hundred".