101826464628101 has 4 divisors (see below), whose sum is σ = 105337722029100. Its totient is φ = 98315207227104.

The previous prime is 101826464628089. The next prime is 101826464628103.

It is a happy number.

101826464628101 is nontrivially palindromic in base 10.

It is a Cunningham number, because it is equal to 10090910²+1.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 53395317984100 + 48431146644001 = 7307210^2 + 6959249^2 .

It is a cyclic number.

It is not a de Polignac number, because 101826464628101 - 2¹⁰ = 101826464627077 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101826464628101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101826464628103) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1755628700456 + ... + 1755628700513.

It is an arithmetic number, because the mean of its divisors is an integer number (26334430507275).

Almost surely, 2^{101826464628101} is an apocalyptic number.

It is an amenable number.

101826464628101 is a deficient number, since it is larger than the sum of its proper divisors (3511257400999).

101826464628101 is an equidigital number, since it uses as much as digits as its factorization.

101826464628101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3511257400998.

The product of its (nonzero) digits is 884736, while the sum is 50.

The spelling of 101826464628101 in words is "one hundred one trillion, eight hundred twenty-six billion, four hundred sixty-four million, six hundred twenty-eight thousand, one hundred one".