100010012020200 has 288 divisors, whose sum is σ = 338591361176640. Its totient is φ = 26453877580800.

The previous prime is 100010012020181. The next prime is 100010012020207. The reversal of 100010012020200 is 2020210010001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (100010012020207) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 109848855 + ... + 110755545.

It is an arithmetic number, because the mean of its divisors is an integer number (1175664448530).

Almost surely, 2^{100010012020200} is an apocalyptic number.

100010012020200 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 100010012020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169295680588320).

100010012020200 is an abundant number, since it is smaller than the sum of its proper divisors (238581349156440).

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

100010012020200 is a wasteful number, since it uses less digits than its factorization.

100010012020200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 907209 (or 907197 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 100010012020200 its reverse (2020210010001), we get a palindrome (102030222030201).

The spelling of 100010012020200 in words is "one hundred trillion, ten billion, twelve million, twenty thousand, two hundred".