10321011012301 has 32 divisors (see below), whose sum is σ = 11641184202240. Its totient is φ = 9069882379200.

The previous prime is 10321011012251. The next prime is 10321011012337.

It is a happy number.

10321011012301 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 10321011012301 - 2¹⁵ = 10321010979533 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 (10321011018301) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 144186946 + ... + 144258508.

It is an arithmetic number, because the mean of its divisors is an integer number (363787006320).

Almost surely, 2^{10321011012301} is an apocalyptic number.

10321011012301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10321011012301 is a deficient number, since it is larger than the sum of its proper divisors (1320173189939).

10321011012301 is a wasteful number, since it uses less digits than its factorization.

10321011012301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75337.

The product of its (nonzero) digits is 36, while the sum is 16.

It can be divided in two parts, 1032101 and 1012301, that added together give a palindrome (2044402).

The spelling of 10321011012301 in words is "ten trillion, three hundred twenty-one billion, eleven million, twelve thousand, three hundred one".