100011011111201 has 4 divisors (see below), whose sum is σ = 100730514788400. Its totient is φ = 99291507434004.

The previous prime is 100011011111059. The next prime is 100011011111213. The reversal of 100011011111201 is 102111110110001.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 100011011111201 - 2¹⁰ = 100011011110177 is a prime.

It is a super-3 number, since 3×100011011111201³ (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100011011111801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 359751838391 + ... + 359751838668.

It is an arithmetic number, because the mean of its divisors is an integer number (25182628697100).

Almost surely, 2^{100011011111201} is an apocalyptic number.

It is an amenable number.

100011011111201 is a deficient number, since it is larger than the sum of its proper divisors (719503677199).

100011011111201 is an equidigital number, since it uses as much as digits as its factorization.

100011011111201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719503677198.

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 100011011111201 its reverse (102111110110001), we get a palindrome (202122121221202).

The spelling of 100011011111201 in words is "one hundred trillion, eleven billion, eleven million, one hundred eleven thousand, two hundred one".