101403105201 has 32 divisors (see below), whose sum is σ = 151796736000. Its totient is φ = 66896576784.

The previous prime is 101403105173. The next prime is 101403105211. The reversal of 101403105201 is 102501304101.

101403105201 is a `hidden beast` number, since 1 + 0 + 140 + 3 + 1 + 0 + 520 + 1 = 666.

It is not a de Polignac number, because 101403105201 - 2⁷ = 101403105073 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (101403105211) 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, 3989190 + ... + 4014528.

It is an arithmetic number, because the mean of its divisors is an integer number (4743648000).

Almost surely, 2^101403105201 is an apocalyptic number.

It is an amenable number.

101403105201 is a deficient number, since it is larger than the sum of its proper divisors (50393630799).

101403105201 is a wasteful number, since it uses less digits than its factorization.

101403105201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26890 (or 26884 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 101403105201 its reverse (102501304101), we get a palindrome (203904409302).

The spelling of 101403105201 in words is "one hundred one billion, four hundred three million, one hundred five thousand, two hundred one".