101012321105 has 16 divisors (see below), whose sum is σ = 121749730560. Its totient is φ = 80453382912.

The previous prime is 101012321099. The next prime is 101012321117. The reversal of 101012321105 is 501123210101.

It is a cyclic number.

It is not a de Polignac number, because 101012321105 - 2³⁰ = 99938579281 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8044442 + ... + 8056988.

It is an arithmetic number, because the mean of its divisors is an integer number (7609358160).

Almost surely, 2^101012321105 is an apocalyptic number.

It is an amenable number.

101012321105 is a deficient number, since it is larger than the sum of its proper divisors (20737409455).

101012321105 is a wasteful number, since it uses less digits than its factorization.

101012321105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19528.

The product of its (nonzero) digits is 60, while the sum is 17.

Adding to 101012321105 its reverse (501123210101), we get a palindrome (602135531206).

The spelling of 101012321105 in words is "one hundred one billion, twelve million, three hundred twenty-one thousand, one hundred five".