26106121101361 has 32 divisors (see below), whose sum is σ = 31685341017600. Its totient is φ = 20997312086016.

The previous prime is 26106121101341. The next prime is 26106121101419. The reversal of 26106121101361 is 16310112160162.

It is not a de Polignac number, because 26106121101361 - 2²³ = 26106112712753 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (26106121101301) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69433105 + ... + 69808081.

It is an arithmetic number, because the mean of its divisors is an integer number (990166906800).

Almost surely, 2^{26106121101361} is an apocalyptic number.

It is an amenable number.

26106121101361 is a deficient number, since it is larger than the sum of its proper divisors (5579219916239).

26106121101361 is a wasteful number, since it uses less digits than its factorization.

26106121101361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376753.

The product of its (nonzero) digits is 2592, while the sum is 31.

The spelling of 26106121101361 in words is "twenty-six trillion, one hundred six billion, one hundred twenty-one million, one hundred one thousand, three hundred sixty-one".