101021331105 has 48 divisors (see below), whose sum is σ = 179448154704. Its totient is φ = 52542351360.

The previous prime is 101021331077. The next prime is 101021331107. The reversal of 101021331105 is 501133120101.

It can be written as a sum of positive squares in 8 ways, for example, as 52944629409 + 48076701696 = 230097^2 + 219264^2 .

It is not a de Polignac number, because 101021331105 - 2³⁶ = 32301854369 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101021331107) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 5113707 + ... + 5133423.

It is an arithmetic number, because the mean of its divisors is an integer number (3738503223).

Almost surely, 2^101021331105 is an apocalyptic number.

101021331105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101021331105 is a deficient number, since it is larger than the sum of its proper divisors (78426823599).

101021331105 is a wasteful number, since it uses less digits than its factorization.

101021331105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22546 (or 22543 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

Adding to 101021331105 its reverse (501133120101), we get a palindrome (602154451206).

The spelling of 101021331105 in words is "one hundred one billion, twenty-one million, three hundred thirty-one thousand, one hundred five".