101100000100201 has 4 divisors (see below), whose sum is σ = 101100024210004. Its totient is φ = 101099975990400.

The previous prime is 101100000100189. The next prime is 101100000100223. The reversal of 101100000100201 is 102001000001101.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 16138892120976 + 84961107979225 = 4017324^2 + 9217435^2 .

It is a cyclic number.

It is not a de Polignac number, because 101100000100201 - 2²⁵ = 101099966545769 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101100000100901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3947340 + ... + 14757421.

It is an arithmetic number, because the mean of its divisors is an integer number (25275006052501).

Almost surely, 2^{101100000100201} is an apocalyptic number.

It is an amenable number.

101100000100201 is a deficient number, since it is larger than the sum of its proper divisors (24109803).

101100000100201 is an equidigital number, since it uses as much as digits as its factorization.

101100000100201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24109802.

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 101100000100201 its reverse (102001000001101), we get a palindrome (203101000101302).

The spelling of 101100000100201 in words is "one hundred one trillion, one hundred billion, one hundred thousand, two hundred one".