101144201304123 has 24 divisors (see below), whose sum is σ = 146736400842720. Its totient is φ = 67134832894080.

The previous prime is 101144201304073. The next prime is 101144201304143. The reversal of 101144201304123 is 321403102441101.

It is a happy number.

101144201304123 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 44 + 201 + 3 + 0 + 412 + 3 = 666.

It is not a de Polignac number, because 101144201304123 - 2⁹ = 101144201303611 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101144201304143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13162711 + ... + 19378992.

It is an arithmetic number, because the mean of its divisors is an integer number (6114016701780).

Almost surely, 2^{101144201304123} is an apocalyptic number.

101144201304123 is a deficient number, since it is larger than the sum of its proper divisors (45592199538597).

101144201304123 is a wasteful number, since it uses less digits than its factorization.

101144201304123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32543219 (or 32543216 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 101144201304123 its reverse (321403102441101), we get a palindrome (422547303745224).

The spelling of 101144201304123 in words is "one hundred one trillion, one hundred forty-four billion, two hundred one million, three hundred four thousand, one hundred twenty-three".