100201012011 has 40 divisors (see below), whose sum is σ = 150800863488. Its totient is φ = 66302550000.

The previous prime is 100201011991. The next prime is 100201012027. The reversal of 100201012011 is 110210102001.

It is a happy number.

It is not a de Polignac number, because 100201012011 - 2¹⁴ = 100200995627 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100201011984 and 100201012002.

It is not an unprimeable number, because it can be changed into a prime (100201012061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 18722986 + ... + 18728336.

Almost surely, 2^100201012011 is an apocalyptic number.

100201012011 is a deficient number, since it is larger than the sum of its proper divisors (50599851477).

100201012011 is a wasteful number, since it uses less digits than its factorization.

100201012011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7045 (or 7036 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100201012011 its reverse (110210102001), we get a palindrome (210411114012).

The spelling of 100201012011 in words is "one hundred billion, two hundred one million, twelve thousand, eleven".