100010122100200 has 144 divisors (see below), whose sum is σ = 253018181307780. Its totient is φ = 36546116567040.

The previous prime is 100010122100177. The next prime is 100010122100201. The reversal of 100010122100200 is 2001221010001.

It can be written as a sum of positive squares in 18 ways, for example, as 44010672474916 + 55999449625284 = 6634054^2 + 7483278^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (100010122100201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 22419324 + ... + 26507476.

Almost surely, 2^{100010122100200} is an apocalyptic number.

100010122100200 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 100010122100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126509090653890).

100010122100200 is an abundant number, since it is smaller than the sum of its proper divisors (153008059207580).

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

100010122100200 is a wasteful number, since it uses less digits than its factorization.

100010122100200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4088376 (or 4088270 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 100010122100200 its reverse (2001221010001), we get a palindrome (102011343110201).

The spelling of 100010122100200 in words is "one hundred trillion, ten billion, one hundred twenty-two million, one hundred thousand, two hundred".