203623256406101 has 24 divisors (see below), whose sum is σ = 237280518783000. Its totient is φ = 174230362865664.

The previous prime is 203623256406077. The next prime is 203623256406133. The reversal of 203623256406101 is 101604652326302.

It can be written as a sum of positive squares in 4 ways, for example, as 1961274207025 + 201661982199076 = 1400455^2 + 14200774^2 .

It is not a de Polignac number, because 203623256406101 - 2¹⁰ = 203623256405077 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (203623256406301) 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, 84307385 + ... + 86688993.

It is an arithmetic number, because the mean of its divisors is an integer number (9886688282625).

Almost surely, 2^{203623256406101} is an apocalyptic number.

It is an amenable number.

203623256406101 is a deficient number, since it is larger than the sum of its proper divisors (33657262376899).

203623256406101 is a wasteful number, since it uses less digits than its factorization.

203623256406101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2384661 (or 2384654 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 41.

The spelling of 203623256406101 in words is "two hundred three trillion, six hundred twenty-three billion, two hundred fifty-six million, four hundred six thousand, one hundred one".