101101401405 has 24 divisors (see below), whose sum is σ = 175259769048. Its totient is φ = 53915412096.

The previous prime is 101101401377. The next prime is 101101401431. The reversal of 101101401405 is 504104101101.

101101401405 is a `hidden beast` number, since 10 + 110 + 140 + 1 + 405 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 30756039876 + 70345361529 = 175374^2 + 265227^2 .

It is not a de Polignac number, because 101101401405 - 2⁶ = 101101401341 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 371739 + ... + 583431.

It is an arithmetic number, because the mean of its divisors is an integer number (7302490377).

Almost surely, 2^101101401405 is an apocalyptic number.

101101401405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101101401405 is a deficient number, since it is larger than the sum of its proper divisors (74158367643).

101101401405 is a wasteful number, since it uses less digits than its factorization.

101101401405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222317 (or 222314 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

Adding to 101101401405 its reverse (504104101101), we get a palindrome (605205502506).

The spelling of 101101401405 in words is "one hundred one billion, one hundred one million, four hundred one thousand, four hundred five".