201045588672103 has 32 divisors (see below), whose sum is σ = 253862394430464. Its totient is φ = 155134638269952.

The previous prime is 201045588672083. The next prime is 201045588672133. The reversal of 201045588672103 is 301276885540102.

It is a de Polignac number, because none of the positive numbers 2^k-201045588672103 is a prime.

It is a super-2 number, since 2×201045588672103² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201045588672133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 276805101 + ... + 277530457.

It is an arithmetic number, because the mean of its divisors is an integer number (7933199825952).

Almost surely, 2^{201045588672103} is an apocalyptic number.

201045588672103 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

201045588672103 is a deficient number, since it is larger than the sum of its proper divisors (52816805758361).

201045588672103 is a wasteful number, since it uses less digits than its factorization.

201045588672103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826671.

The product of its (nonzero) digits is 3225600, while the sum is 52.

The spelling of 201045588672103 in words is "two hundred one trillion, forty-five billion, five hundred eighty-eight million, six hundred seventy-two thousand, one hundred three".