100121120993 has 2 divisors, whose sum is σ = 100121120994. Its totient is φ = 100121120992.

The previous prime is 100121120933. The next prime is 100121121007. The reversal of 100121120993 is 399021121001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 95402530129 + 4718590864 = 308873^2 + 68692^2 .

It is a cyclic number.

It is not a de Polignac number, because 100121120993 - 2¹⁴ = 100121104609 is a prime.

It is not a weakly prime, because it can be changed into another prime (100121120933) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50060560496 + 50060560497.

It is an arithmetic number, because the mean of its divisors is an integer number (50060560497).

Almost surely, 2^100121120993 is an apocalyptic number.

It is an amenable number.

100121120993 is a deficient number, since it is larger than the sum of its proper divisors (1).

100121120993 is an equidigital number, since it uses as much as digits as its factorization.

100121120993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 972, while the sum is 29.

Adding to 100121120993 its reverse (399021121001), we get a palindrome (499142241994).

The spelling of 100121120993 in words is "one hundred billion, one hundred twenty-one million, one hundred twenty thousand, nine hundred ninety-three".