103111132000201 has 8 divisors (see below), whose sum is σ = 114871818143880. Its totient is φ = 91897454514432.

The previous prime is 103111132000169. The next prime is 103111132000231. The reversal of 103111132000201 is 102000231111301.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 17320912185600 + 85790219814601 = 4161840^2 + 9262301^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 103111132000201 - 2⁵ = 103111132000169 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (103111132000231) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 136752164080 + ... + 136752164833.

It is an arithmetic number, because the mean of its divisors is an integer number (14358977267985).

Almost surely, 2^{103111132000201} is an apocalyptic number.

It is an amenable number.

103111132000201 is a deficient number, since it is larger than the sum of its proper divisors (11760686143679).

103111132000201 is a wasteful number, since it uses less digits than its factorization.

103111132000201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273504328955.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 103111132000201 its reverse (102000231111301), we get a palindrome (205111363111502).

The spelling of 103111132000201 in words is "one hundred three trillion, one hundred eleven billion, one hundred thirty-two million, two hundred one", and thus it is an aban number.