2109962510041 has 9 divisors (see below), whose sum is σ = 2150602736191. Its totient is φ = 2070076362952.

The previous prime is 2109962510027. The next prime is 2109962510077. The reversal of 2109962510041 is 1400152699012.

The square root of 2109962510041 is 1452571.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1521065889225 + 588896620816 = 1233315^2 + 767396^2 .

It is not a de Polignac number, because 2109962510041 - 2³⁷ = 1972523556569 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2109962509976 and 2109962510003.

It is not an unprimeable number, because it can be changed into a prime (2109962510081) 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 in 8 ways as a sum of consecutive naturals, for example, 76972560 + ... + 76999966.

Almost surely, 2^{2109962510041} is an apocalyptic number.

2109962510041 is the 1452571-st square number.

2109962510041 is the 726286-th centered octagonal number.

It is an amenable number.

2109962510041 is a deficient number, since it is larger than the sum of its proper divisors (40640226150).

2109962510041 is an frugal number, since it uses more digits than its factorization.

2109962510041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54920 (or 27460 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 40.

The spelling of 2109962510041 in words is "two trillion, one hundred nine billion, nine hundred sixty-two million, five hundred ten thousand, forty-one".