100203122101 has 4 divisors (see below), whose sum is σ = 100203785100. Its totient is φ = 100202459104.

The previous prime is 100203122077. The next prime is 100203122137. The reversal of 100203122101 is 101221302001.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 6918080625 + 93285041476 = 83175^2 + 305426^2 .

It is a cyclic number.

It is not a de Polignac number, because 100203122101 - 2⁹ = 100203121589 is a prime.

It is a super-3 number, since 3×100203122101³ (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100203122141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18105 + ... + 448033.

It is an arithmetic number, because the mean of its divisors is an integer number (25050946275).

Almost surely, 2^100203122101 is an apocalyptic number.

It is an amenable number.

100203122101 is a deficient number, since it is larger than the sum of its proper divisors (662999).

100203122101 is an equidigital number, since it uses as much as digits as its factorization.

100203122101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662998.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 100203122101 its reverse (101221302001), we get a palindrome (201424424102).

The spelling of 100203122101 in words is "one hundred billion, two hundred three million, one hundred twenty-two thousand, one hundred one".