100201310211033 has 12 divisors (see below), whose sum is σ = 144752332131108. Its totient is φ = 66792978272160.

The previous prime is 100201310210959. The next prime is 100201310211073. The reversal of 100201310211033 is 330112013102001.

100201310211033 is a `hidden beast` number, since 10 + 0 + 201 + 310 + 2 + 110 + 33 = 666.

100201310211033 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 2 ways, for example, as 65138652005904 + 35062658205129 = 8070852^2 + 5921373^2 .

It is not a de Polignac number, because 100201310211033 - 2²⁰ = 100201309162457 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100201310210997 and 100201310211015.

It is not an unprimeable number, because it can be changed into a prime (100201310211073) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 657853110 + ... + 658005407.

It is an arithmetic number, because the mean of its divisors is an integer number (12062694344259).

Almost surely, 2^{100201310211033} is an apocalyptic number.

It is an amenable number.

100201310211033 is a deficient number, since it is larger than the sum of its proper divisors (44551021920075).

100201310211033 is a wasteful number, since it uses less digits than its factorization.

100201310211033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1315866984 (or 1315866981 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 100201310211033 its reverse (330112013102001), we get a palindrome (430313323313034).

The spelling of 100201310211033 in words is "one hundred trillion, two hundred one billion, three hundred ten million, two hundred eleven thousand, thirty-three".