100201102112011 has 8 divisors (see below), whose sum is σ = 100284753530000. Its totient is φ = 100117456178688.

The previous prime is 100201102111973. The next prime is 100201102112029. The reversal of 100201102112011 is 110211201102001.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100201102112011 - 2⁷ = 100201102111883 is a prime.

It is a super-3 number, since 3×100201102112011³ (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100201102111982 and 100201102112000.

It is not an unprimeable number, because it can be changed into a prime (100201102112411) 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 7 ways as a sum of consecutive naturals, for example, 35598415 + ... + 38309911.

It is an arithmetic number, because the mean of its divisors is an integer number (12535594191250).

Almost surely, 2^{100201102112011} is an apocalyptic number.

100201102112011 is a deficient number, since it is larger than the sum of its proper divisors (83651417989).

100201102112011 is a wasteful number, since it uses less digits than its factorization.

100201102112011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2742333.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 100201102112011 its reverse (110211201102001), we get a palindrome (210412303214012).

The spelling of 100201102112011 in words is "one hundred trillion, two hundred one billion, one hundred two million, one hundred twelve thousand, eleven".