200001000100100 has 36 divisors (see below), whose sum is σ = 434007619304868. Its totient is φ = 79999395600000.

The previous prime is 200001000100049. The next prime is 200001000100103. The reversal of 200001000100100 is 1001000100002.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 20731392256 + 199980268707844 = 143984^2 + 14141438^2 .

It is a Harshad number since it is a multiple of its sum of digits (5).

It is not an unprimeable number, because it can be changed into a prime (200001000100103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4525451 + ... + 20505650.

It is an arithmetic number, because the mean of its divisors is an integer number (12055767202913).

Almost surely, 2^{200001000100100} is an apocalyptic number.

200001000100100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200001000100100 is an abundant number, since it is smaller than the sum of its proper divisors (234006619204768).

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

200001000100100 is a wasteful number, since it uses less digits than its factorization.

200001000100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25111016 (or 25111009 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 5.

Adding to 200001000100100 its reverse (1001000100002), we get a palindrome (201002000200102).

The spelling of 200001000100100 in words is "two hundred trillion, one billion, one hundred thousand, one hundred".