100102000200201 has 12 divisors (see below), whose sum is σ = 153097176777012. Its totient is φ = 62809098164736.

The previous prime is 100102000200197. The next prime is 100102000200259. The reversal of 100102000200201 is 102002000201001.

It can be written as a sum of positive squares in 2 ways, for example, as 49894515596025 + 50207484604176 = 7063605^2 + 7085724^2 .

It is not a de Polignac number, because 100102000200201 - 2² = 100102000200197 is a prime.

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 (100102000200101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 327130719456 + ... + 327130719761.

It is an arithmetic number, because the mean of its divisors is an integer number (12758098064751).

Almost surely, 2^{100102000200201} is an apocalyptic number.

It is an amenable number.

100102000200201 is a deficient number, since it is larger than the sum of its proper divisors (52995176576811).

100102000200201 is a wasteful number, since it uses less digits than its factorization.

100102000200201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654261439240 (or 654261439237 counting only the distinct ones).

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

Adding to 100102000200201 its reverse (102002000201001), we get a palindrome (202104000401202).

The spelling of 100102000200201 in words is "one hundred trillion, one hundred two billion, two hundred thousand, two hundred one".