10100011100201 has 16 divisors (see below), whose sum is σ = 11088722873088. Its totient is φ = 9123057840000.

The previous prime is 10100011100197. The next prime is 10100011100213. The reversal of 10100011100201 is 10200111000101.

It is a happy number.

10100011100201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10100011100201 - 2² = 10100011100197 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10100011100251) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70305221 + ... + 70448733.

It is an arithmetic number, because the mean of its divisors is an integer number (693045179568).

Almost surely, 2^{10100011100201} is an apocalyptic number.

10100011100201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10100011100201 is a deficient number, since it is larger than the sum of its proper divisors (988711772887).

10100011100201 is a wasteful number, since it uses less digits than its factorization.

10100011100201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184432.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 10100011100201 its reverse (10200111000101), we get a palindrome (20300122100302).

The spelling of 10100011100201 in words is "ten trillion, one hundred billion, eleven million, one hundred thousand, two hundred one".