101109982373401 has 2 divisors, whose sum is σ = 101109982373402. Its totient is φ = 101109982373400.

The previous prime is 101109982373353. The next prime is 101109982373429. The reversal of 101109982373401 is 104373289901101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 101088465884176 + 21516489225 = 10054276^2 + 146685^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101109982373401 is a prime.

It is not a weakly prime, because it can be changed into another prime (101109982373441) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50554991186700 + 50554991186701.

It is an arithmetic number, because the mean of its divisors is an integer number (50554991186701).

Almost surely, 2^{101109982373401} is an apocalyptic number.

It is an amenable number.

101109982373401 is a deficient number, since it is larger than the sum of its proper divisors (1).

101109982373401 is an equidigital number, since it uses as much as digits as its factorization.

101109982373401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 326592, while the sum is 49.

The spelling of 101109982373401 in words is "one hundred one trillion, one hundred nine billion, nine hundred eighty-two million, three hundred seventy-three thousand, four hundred one".