100111201011 has 24 divisors (see below), whose sum is σ = 149490516864. Its totient is φ = 64492346880.

The previous prime is 100111200983. The next prime is 100111201019. The reversal of 100111201011 is 110102111001.

It is not a de Polignac number, because 100111201011 - 2⁶ = 100111200947 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 = 100111200984 and 100111201002.

It is not an unprimeable number, because it can be changed into a prime (100111201019) 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 23 ways as a sum of consecutive naturals, for example, 76126 + ... + 453891.

It is an arithmetic number, because the mean of its divisors is an integer number (6228771536).

Almost surely, 2^100111201011 is an apocalyptic number.

100111201011 is a deficient number, since it is larger than the sum of its proper divisors (49379315853).

100111201011 is a wasteful number, since it uses less digits than its factorization.

100111201011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530731 (or 530728 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 100111201011 its reverse (110102111001), we get a palindrome (210213312012).

The spelling of 100111201011 in words is "one hundred billion, one hundred eleven million, two hundred one thousand, eleven".