201125344401 has 12 divisors (see below), whose sum is σ = 290776361460. Its totient is φ = 133962651360.

The previous prime is 201125344363. The next prime is 201125344451. The reversal of 201125344401 is 104443521102.

201125344401 is a `hidden beast` number, since 2 + 0 + 1 + 1 + 253 + 4 + 4 + 401 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 21535856001 + 179589488400 = 146751^2 + 423780^2 .

It is not a de Polignac number, because 201125344401 - 2²⁷ = 200991126673 is a prime.

It is not an unprimeable number, because it can be changed into a prime (201125344451) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10065430 + ... + 10085391.

It is an arithmetic number, because the mean of its divisors is an integer number (24231363455).

Almost surely, 2^201125344401 is an apocalyptic number.

It is an amenable number.

201125344401 is a deficient number, since it is larger than the sum of its proper divisors (89651017059).

201125344401 is a wasteful number, since it uses less digits than its factorization.

201125344401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20151936 (or 20151933 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 201125344401 its reverse (104443521102), we get a palindrome (305568865503).

The spelling of 201125344401 in words is "two hundred one billion, one hundred twenty-five million, three hundred forty-four thousand, four hundred one".