100121191993 has 2 divisors, whose sum is σ = 100121191994. Its totient is φ = 100121191992.

The previous prime is 100121191903. The next prime is 100121192021. The reversal of 100121191993 is 399191121001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99775120384 + 346071609 = 315872^2 + 18603^2 .

It is a cyclic number.

It is not a de Polignac number, because 100121191993 - 2¹³ = 100121183801 is a prime.

It is not a weakly prime, because it can be changed into another prime (100121191903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50060595996 + 50060595997.

It is an arithmetic number, because the mean of its divisors is an integer number (50060595997).

Almost surely, 2^100121191993 is an apocalyptic number.

It is an amenable number.

100121191993 is a deficient number, since it is larger than the sum of its proper divisors (1).

100121191993 is an equidigital number, since it uses as much as digits as its factorization.

100121191993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4374, while the sum is 37.

The spelling of 100121191993 in words is "one hundred billion, one hundred twenty-one million, one hundred ninety-one thousand, nine hundred ninety-three".