101405062233 has 12 divisors (see below), whose sum is σ = 149237639460. Its totient is φ = 66327839136.

The previous prime is 101405062229. The next prime is 101405062289. The reversal of 101405062233 is 332260504101.

101405062233 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 0 + 5 + 0 + 622 + 33 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 34703218944 + 66701843289 = 186288^2 + 258267^2 .

It is not a de Polignac number, because 101405062233 - 2² = 101405062229 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 101405062197 and 101405062206.

It is not an unprimeable number, because it can be changed into a prime (101405062433) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 106294138 + ... + 106295091.

It is an arithmetic number, because the mean of its divisors is an integer number (12436469955).

Almost surely, 2^101405062233 is an apocalyptic number.

It is an amenable number.

101405062233 is a deficient number, since it is larger than the sum of its proper divisors (47832577227).

101405062233 is a wasteful number, since it uses less digits than its factorization.

101405062233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212589288 (or 212589285 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 101405062233 its reverse (332260504101), we get a palindrome (433665566334).

The spelling of 101405062233 in words is "one hundred one billion, four hundred five million, sixty-two thousand, two hundred thirty-three".