100100021200201 has 12 divisors (see below), whose sum is σ = 111000988930356. Its totient is φ = 90194709355520.

The previous prime is 100100021200187. The next prime is 100100021200237. The reversal of 100100021200201 is 102002120001001.

It can be written as a sum of positive squares in 2 ways, for example, as 5392965820176 + 94707055380025 = 2322276^2 + 9731755^2 .

It is not a de Polignac number, because 100100021200201 - 2⁵ = 100100021200169 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100100021200241) 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, 3660485896 + ... + 3660513241.

It is an arithmetic number, because the mean of its divisors is an integer number (9250082410863).

Almost surely, 2^{100100021200201} is an apocalyptic number.

100100021200201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100100021200201 is a deficient number, since it is larger than the sum of its proper divisors (10900967730155).

100100021200201 is a wasteful number, since it uses less digits than its factorization.

100100021200201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7320999272 (or 7320999261 counting only the distinct ones).

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

Adding to 100100021200201 its reverse (102002120001001), we get a palindrome (202102141201202).

The spelling of 100100021200201 in words is "one hundred trillion, one hundred billion, twenty-one million, two hundred thousand, two hundred one".