201123103111229 has 24 divisors (see below), whose sum is σ = 221900977269720. Its totient is φ = 181209772985472.

The previous prime is 201123103111219. The next prime is 201123103111277. The reversal of 201123103111229 is 922111301321102.

It can be written as a sum of positive squares in 4 ways, for example, as 32503658635204 + 168619444476025 = 5701198^2 + 12985355^2 .

It is not a de Polignac number, because 201123103111229 - 2²⁰ = 201123102062653 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201123103111219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32046467 + ... + 37805055.

It is an arithmetic number, because the mean of its divisors is an integer number (9245874052905).

Almost surely, 2^{201123103111229} is an apocalyptic number.

It is an amenable number.

201123103111229 is a deficient number, since it is larger than the sum of its proper divisors (20777874158491).

201123103111229 is a wasteful number, since it uses less digits than its factorization.

201123103111229 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5760141 (or 5760098 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 29.

The spelling of 201123103111229 in words is "two hundred one trillion, one hundred twenty-three billion, one hundred three million, one hundred eleven thousand, two hundred twenty-nine".