101221118953 has 2 divisors, whose sum is σ = 101221118954. Its totient is φ = 101221118952.

The previous prime is 101221118941. The next prime is 101221118993. The reversal of 101221118953 is 359811122101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 92010302224 + 9210816729 = 303332^2 + 95973^2 .

It is a cyclic number.

It is not a de Polignac number, because 101221118953 - 2⁹ = 101221118441 is a prime.

It is not a weakly prime, because it can be changed into another prime (101221118903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50610559476 + 50610559477.

It is an arithmetic number, because the mean of its divisors is an integer number (50610559477).

Almost surely, 2^101221118953 is an apocalyptic number.

It is an amenable number.

101221118953 is a deficient number, since it is larger than the sum of its proper divisors (1).

101221118953 is an equidigital number, since it uses as much as digits as its factorization.

101221118953 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4320, while the sum is 34.

The spelling of 101221118953 in words is "one hundred one billion, two hundred twenty-one million, one hundred eighteen thousand, nine hundred fifty-three".