110000100102201 has 32 divisors (see below), whose sum is σ = 163521573621120. Its totient is φ = 73082478373632.

The previous prime is 110000100102173. The next prime is 110000100102209. The reversal of 110000100102201 is 102201001000011.

It is a happy number.

It is not a de Polignac number, because 110000100102201 - 2⁷ = 110000100102073 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 (110000100102209) 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 31 ways as a sum of consecutive naturals, for example, 4885021 + ... + 15616133.

It is an arithmetic number, because the mean of its divisors is an integer number (5110049175660).

Almost surely, 2^{110000100102201} is an apocalyptic number.

It is an amenable number.

110000100102201 is a deficient number, since it is larger than the sum of its proper divisors (53521473518919).

110000100102201 is a wasteful number, since it uses less digits than its factorization.

110000100102201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10732422 (or 10732416 counting only the distinct ones).

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

Adding to 110000100102201 its reverse (102201001000011), we get a palindrome (212201101102212).

The spelling of 110000100102201 in words is "one hundred ten trillion, one hundred million, one hundred two thousand, two hundred one".