10321012323101 has 16 divisors (see below), whose sum is σ = 10448089069680. Its totient is φ = 10194788567040.

The previous prime is 10321012323077. The next prime is 10321012323109. The reversal of 10321012323101 is 10132321012301.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 336208627225 + 9984803695876 = 579835^2 + 3159874^2 .

It is a cyclic number.

It is not a de Polignac number, because 10321012323101 - 2³⁴ = 10303832453917 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10321012323109) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27105305 + ... + 27483441.

It is an arithmetic number, because the mean of its divisors is an integer number (653005566855).

Almost surely, 2^{10321012323101} is an apocalyptic number.

It is an amenable number.

10321012323101 is a deficient number, since it is larger than the sum of its proper divisors (127076746579).

10321012323101 is a wasteful number, since it uses less digits than its factorization.

10321012323101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379264.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 10321012323101 its reverse (10132321012301), we get a palindrome (20453333335402).

The spelling of 10321012323101 in words is "ten trillion, three hundred twenty-one billion, twelve million, three hundred twenty-three thousand, one hundred one".