100330012121 has 2 divisors, whose sum is σ = 100330012122. Its totient is φ = 100330012120.

The previous prime is 100330012067. The next prime is 100330012193. The reversal of 100330012121 is 121210033001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 74139121225 + 26190890896 = 272285^2 + 161836^2 .

It is a cyclic number.

It is not a de Polignac number, because 100330012121 - 2¹⁸ = 100329749977 is a prime.

It is a super-2 number, since 2×100330012121² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100330012096 and 100330012105.

It is not a weakly prime, because it can be changed into another prime (100330018121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50165006060 + 50165006061.

It is an arithmetic number, because the mean of its divisors is an integer number (50165006061).

Almost surely, 2^100330012121 is an apocalyptic number.

It is an amenable number.

100330012121 is a deficient number, since it is larger than the sum of its proper divisors (1).

100330012121 is an equidigital number, since it uses as much as digits as its factorization.

100330012121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 100330012121 its reverse (121210033001), we get a palindrome (221540045122).

The spelling of 100330012121 in words is "one hundred billion, three hundred thirty million, twelve thousand, one hundred twenty-one".