10100032110409 has 2 divisors, whose sum is σ = 10100032110410. Its totient is φ = 10100032110408.

The previous prime is 10100032110407. The next prime is 10100032110499. The reversal of 10100032110409 is 90401123000101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6055891000384 + 4044141110025 = 2460872^2 + 2011005^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100032110409 - 2¹ = 10100032110407 is a prime.

It is a super-2 number, since 2×10100032110409² (a number of 27 digits) contains 22 as substring.

Together with 10100032110407, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 10100032110409.

It is not a weakly prime, because it can be changed into another prime (10100032110403) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050016055204 + 5050016055205.

It is an arithmetic number, because the mean of its divisors is an integer number (5050016055205).

Almost surely, 2^{10100032110409} is an apocalyptic number.

It is an amenable number.

10100032110409 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100032110409 is an equidigital number, since it uses as much as digits as its factorization.

10100032110409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 22.

The spelling of 10100032110409 in words is "ten trillion, one hundred billion, thirty-two million, one hundred ten thousand, four hundred nine".