10000321012123 has 16 divisors (see below), whose sum is σ = 10930614317056. Its totient is φ = 9093040624800.

The previous prime is 10000321012069. The next prime is 10000321012153. The reversal of 10000321012123 is 32121012300001.

It is a cyclic number.

It is not a de Polignac number, because 10000321012123 - 2¹³ = 10000321003931 is a prime.

It is a super-2 number, since 2×10000321012123² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10000321012097 and 10000321012106.

It is not an unprimeable number, because it can be changed into a prime (10000321012153) 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 15 ways as a sum of consecutive naturals, for example, 36839590 + ... + 37110052.

It is an arithmetic number, because the mean of its divisors is an integer number (683163394816).

Almost surely, 2^{10000321012123} is an apocalyptic number.

10000321012123 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

10000321012123 is a deficient number, since it is larger than the sum of its proper divisors (930293304933).

10000321012123 is a wasteful number, since it uses less digits than its factorization.

10000321012123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312994.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 10000321012123 its reverse (32121012300001), we get a palindrome (42121333312124).

The spelling of 10000321012123 in words is "ten trillion, three hundred twenty-one million, twelve thousand, one hundred twenty-three".