100414521121 has 2 divisors, whose sum is σ = 100414521122. Its totient is φ = 100414521120.

The previous prime is 100414521091. The next prime is 100414521127. The reversal of 100414521121 is 121125414001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 68296504896 + 32118016225 = 261336^2 + 179215^2 .

It is a cyclic number.

It is not a de Polignac number, because 100414521121 - 2²⁵ = 100380966689 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100414521092 and 100414521101.

It is not a weakly prime, because it can be changed into another prime (100414521127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50207260560 + 50207260561.

It is an arithmetic number, because the mean of its divisors is an integer number (50207260561).

Almost surely, 2^100414521121 is an apocalyptic number.

It is an amenable number.

100414521121 is a deficient number, since it is larger than the sum of its proper divisors (1).

100414521121 is an equidigital number, since it uses as much as digits as its factorization.

100414521121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 320, while the sum is 22.

Adding to 100414521121 its reverse (121125414001), we get a palindrome (221539935122).

The spelling of 100414521121 in words is "one hundred billion, four hundred fourteen million, five hundred twenty-one thousand, one hundred twenty-one".