101109982373353 has 2 divisors, whose sum is σ = 101109982373354. Its totient is φ = 101109982373352.

The previous prime is 101109982373341. The next prime is 101109982373401. The reversal of 101109982373353 is 353373289901101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 95200668668889 + 5909313704464 = 9757083^2 + 2430908^2 .

It is an emirp because it is prime and its reverse (353373289901101) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101109982373353 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101109982373294 and 101109982373303.

It is not a weakly prime, because it can be changed into another prime (101109982376353) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50554991186676 + 50554991186677.

It is an arithmetic number, because the mean of its divisors is an integer number (50554991186677).

Almost surely, 2^{101109982373353} is an apocalyptic number.

It is an amenable number.

101109982373353 is a deficient number, since it is larger than the sum of its proper divisors (1).

101109982373353 is an equidigital number, since it uses as much as digits as its factorization.

101109982373353 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3674160, while the sum is 55.

The spelling of 101109982373353 in words is "one hundred one trillion, one hundred nine billion, nine hundred eighty-two million, three hundred seventy-three thousand, three hundred fifty-three".