101044400777101 has 8 divisors (see below), whose sum is σ = 104541670793880. Its totient is φ = 97547996116032.

The previous prime is 101044400777077. The next prime is 101044400777113. The reversal of 101044400777101 is 101777004440101.

It can be written as a sum of positive squares in 4 ways, for example, as 16719225877225 + 84325174899876 = 4088915^2 + 9182874^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101044400777101 - 2²³ = 101044392388493 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101044400777161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 216101350 + ... + 216568423.

It is an arithmetic number, because the mean of its divisors is an integer number (13067708849235).

Almost surely, 2^{101044400777101} is an apocalyptic number.

It is an amenable number.

101044400777101 is a deficient number, since it is larger than the sum of its proper divisors (3497270016779).

101044400777101 is an equidigital number, since it uses as much as digits as its factorization.

101044400777101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432677855.

The product of its (nonzero) digits is 21952, while the sum is 37.

The spelling of 101044400777101 in words is "one hundred one trillion, forty-four billion, four hundred million, seven hundred seventy-seven thousand, one hundred one".