100221121119953 has 2 divisors, whose sum is σ = 100221121119954. Its totient is φ = 100221121119952.

The previous prime is 100221121119941. The next prime is 100221121119971. The reversal of 100221121119953 is 359911121122001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 63948362419984 + 36272758699969 = 7996772^2 + 6022687^2 .

It is a cyclic number.

It is not a de Polignac number, because 100221121119953 - 2¹⁴ = 100221121103569 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (100221121119983) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50110560559976 + 50110560559977.

It is an arithmetic number, because the mean of its divisors is an integer number (50110560559977).

Almost surely, 2^{100221121119953} is an apocalyptic number.

It is an amenable number.

100221121119953 is a deficient number, since it is larger than the sum of its proper divisors (1).

100221121119953 is an equidigital number, since it uses as much as digits as its factorization.

100221121119953 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9720, while the sum is 38.

The spelling of 100221121119953 in words is "one hundred trillion, two hundred twenty-one billion, one hundred twenty-one million, one hundred nineteen thousand, nine hundred fifty-three".