100230122213 has 16 divisors (see below), whose sum is σ = 109121004720. Its totient is φ = 91509129216.

The previous prime is 100230122203. The next prime is 100230122227. The reversal of 100230122213 is 312221032001.

It can be written as a sum of positive squares in 8 ways, for example, as 3034577569 + 97195544644 = 55087^2 + 311762^2 .

It is a cyclic number.

It is not a de Polignac number, because 100230122213 - 2⁶ = 100230122149 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100230122191 and 100230122200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100230122203) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2065493 + ... + 2113461.

It is an arithmetic number, because the mean of its divisors is an integer number (6820062795).

Almost surely, 2^100230122213 is an apocalyptic number.

100230122213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

100230122213 is a deficient number, since it is larger than the sum of its proper divisors (8890882507).

100230122213 is a wasteful number, since it uses less digits than its factorization.

100230122213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49736.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 100230122213 its reverse (312221032001), we get a palindrome (412451154214).

The spelling of 100230122213 in words is "one hundred billion, two hundred thirty million, one hundred twenty-two thousand, two hundred thirteen".