1000123100321 has 16 divisors (see below), whose sum is σ = 1018285533888. Its totient is φ = 982018987200.

The previous prime is 1000123100287. The next prime is 1000123100363. The reversal of 1000123100321 is 1230013210001.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1000123100321 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1000123100296 and 1000123100305.

It is not an unprimeable number, because it can be changed into a prime (1000123100521) 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, 133221650 + ... + 133229156.

It is an arithmetic number, because the mean of its divisors is an integer number (63642845868).

Almost surely, 2^{1000123100321} is an apocalyptic number.

It is an amenable number.

1000123100321 is a deficient number, since it is larger than the sum of its proper divisors (18162433567).

1000123100321 is an equidigital number, since it uses as much as digits as its factorization.

1000123100321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11072.

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 1000123100321 its reverse (1230013210001), we get a palindrome (2230136310322).

It can be divided in two parts, 1000 and 123100321, that added together give a palindrome (123101321).

The spelling of 1000123100321 in words is "one trillion, one hundred twenty-three million, one hundred thousand, three hundred twenty-one".