101111002209953 has 2 divisors, whose sum is σ = 101111002209954. Its totient is φ = 101111002209952.

The previous prime is 101111002209907. The next prime is 101111002210063. The reversal of 101111002209953 is 359902200111101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 78464748629089 + 22646253580864 = 8858033^2 + 4758808^2 .

It is a cyclic number.

It is not a de Polignac number, because 101111002209953 - 2²⁶ = 101110935101089 is a prime.

It is a super-2 number, since 2×101111002209953² (a number of 29 digits) contains 22 as substring.

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 (101111002205953) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50555501104976 + 50555501104977.

It is an arithmetic number, because the mean of its divisors is an integer number (50555501104977).

Almost surely, 2^{101111002209953} is an apocalyptic number.

It is an amenable number.

101111002209953 is a deficient number, since it is larger than the sum of its proper divisors (1).

101111002209953 is an equidigital number, since it uses as much as digits as its factorization.

101111002209953 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4860, while the sum is 35.

The spelling of 101111002209953 in words is "one hundred one trillion, one hundred eleven billion, two million, two hundred nine thousand, nine hundred fifty-three".