100220133121 has 2 divisors, whose sum is σ = 100220133122. Its totient is φ = 100220133120.

The previous prime is 100220133059. The next prime is 100220133157. The reversal of 100220133121 is 121331022001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 95712890625 + 4507242496 = 309375^2 + 67136^2 .

It is a cyclic number.

It is not a de Polignac number, because 100220133121 - 2⁷ = 100220132993 is a prime.

It is a super-2 number, since 2×100220133121² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100220133095 and 100220133104.

It is not a weakly prime, because it can be changed into another prime (100220133521) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50110066560 + 50110066561.

It is an arithmetic number, because the mean of its divisors is an integer number (50110066561).

Almost surely, 2^100220133121 is an apocalyptic number.

It is an amenable number.

100220133121 is a deficient number, since it is larger than the sum of its proper divisors (1).

100220133121 is an equidigital number, since it uses as much as digits as its factorization.

100220133121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 100220133121 its reverse (121331022001), we get a palindrome (221551155122).

The spelling of 100220133121 in words is "one hundred billion, two hundred twenty million, one hundred thirty-three thousand, one hundred twenty-one".