100241541121 has 2 divisors, whose sum is σ = 100241541122. Its totient is φ = 100241541120.

The previous prime is 100241541073. The next prime is 100241541157. The reversal of 100241541121 is 121145142001.

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., 78561923521 + 21679617600 = 280289^2 + 147240^2 .

It is a cyclic number.

It is not a de Polignac number, because 100241541121 - 2¹⁹ = 100241016833 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100241541092 and 100241541101.

It is not a weakly prime, because it can be changed into another prime (100241541161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50120770560 + 50120770561.

It is an arithmetic number, because the mean of its divisors is an integer number (50120770561).

Almost surely, 2^100241541121 is an apocalyptic number.

It is an amenable number.

100241541121 is a deficient number, since it is larger than the sum of its proper divisors (1).

100241541121 is an equidigital number, since it uses as much as digits as its factorization.

100241541121 is an evil number, because the sum of its binary digits is even.

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

Adding to 100241541121 its reverse (121145142001), we get a palindrome (221386683122).

The spelling of 100241541121 in words is "one hundred billion, two hundred forty-one million, five hundred forty-one thousand, one hundred twenty-one".