111002100201 has 24 divisors (see below), whose sum is σ = 163075316040. Its totient is φ = 72746885376.

The previous prime is 111002100199. The next prime is 111002100203. The reversal of 111002100201 is 102001200111.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (111002100199) and next prime (111002100203).

It can be written as a sum of positive squares in 4 ways, for example, as 1292762025 + 109709338176 = 35955^2 + 331224^2 .

It is not a de Polignac number, because 111002100201 - 2¹ = 111002100199 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (111002100203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 261946 + ... + 539091.

It is an arithmetic number, because the mean of its divisors is an integer number (6794804835).

Almost surely, 2^111002100201 is an apocalyptic number.

It is an amenable number.

111002100201 is a deficient number, since it is larger than the sum of its proper divisors (52073215839).

111002100201 is a wasteful number, since it uses less digits than its factorization.

111002100201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 801305 (or 801302 counting only the distinct ones).

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

Adding to 111002100201 its reverse (102001200111), we get a palindrome (213003300312).

The spelling of 111002100201 in words is "one hundred eleven billion, two million, one hundred thousand, two hundred one".