100023011222301 has 24 divisors (see below), whose sum is σ = 145963461603960. Its totient is φ = 65999771099136.

The previous prime is 100023011222293. The next prime is 100023011222377. The reversal of 100023011222301 is 103222110320001.

100023011222301 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 230 + 112 + 22 + 301 = 666.

100023011222301 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 28022253896025 + 72000757326276 = 5293605^2 + 8485326^2 .

It is not a de Polignac number, because 100023011222301 - 2³ = 100023011222293 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100023011223301) 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, 145809516 + ... + 146493893.

It is an arithmetic number, because the mean of its divisors is an integer number (6081810900165).

Almost surely, 2^{100023011222301} is an apocalyptic number.

It is an amenable number.

100023011222301 is a deficient number, since it is larger than the sum of its proper divisors (45940450381659).

100023011222301 is a wasteful number, since it uses less digits than its factorization.

100023011222301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292303805 (or 292303802 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 100023011222301 its reverse (103222110320001), we get a palindrome (203245121542302).

The spelling of 100023011222301 in words is "one hundred trillion, twenty-three billion, eleven million, two hundred twenty-two thousand, three hundred one".