101522400232105 has 8 divisors (see below), whose sum is σ = 121826955793032. Its totient is φ = 81217869842688.

The previous prime is 101522400232069. The next prime is 101522400232111. The reversal of 101522400232105 is 501232004225101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 505970451856 + 101016429780249 = 711316^2 + 10050693^2 .

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 101522400232105 - 2¹³ = 101522400223913 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4158099 + ... + 14843671.

It is an arithmetic number, because the mean of its divisors is an integer number (15228369474129).

Almost surely, 2^{101522400232105} is an apocalyptic number.

It is an amenable number.

101522400232105 is a deficient number, since it is larger than the sum of its proper divisors (20304555560927).

101522400232105 is a wasteful number, since it uses less digits than its factorization.

101522400232105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12585755.

The product of its (nonzero) digits is 4800, while the sum is 28.

Adding to 101522400232105 its reverse (501232004225101), we get a palindrome (602754404457206).

The spelling of 101522400232105 in words is "one hundred one trillion, five hundred twenty-two billion, four hundred million, two hundred thirty-two thousand, one hundred five".