100111020201 has 24 divisors (see below), whose sum is σ = 150009015520. Its totient is φ = 66719106432.

The previous prime is 100111020193. The next prime is 100111020203. The reversal of 100111020201 is 102020111001.

It is a happy number.

It is not a de Polignac number, because 100111020201 - 2³ = 100111020193 is a prime.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100111020203) 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 23 ways as a sum of consecutive naturals, for example, 705066 + ... + 835068.

Almost surely, 2^100111020201 is an apocalyptic number.

It is an amenable number.

100111020201 is a deficient number, since it is larger than the sum of its proper divisors (49897995319).

100111020201 is an equidigital number, since it uses as much as digits as its factorization.

100111020201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133187 (or 133175 counting only the distinct ones).

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

Adding to 100111020201 its reverse (102020111001), we get a palindrome (202131131202).

The spelling of 100111020201 in words is "one hundred billion, one hundred eleven million, twenty thousand, two hundred one".