1010001112321 has 2 divisors, whose sum is σ = 1010001112322. Its totient is φ = 1010001112320.

The previous prime is 1010001112291. The next prime is 1010001112331. The reversal of 1010001112321 is 1232111000101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 636906148096 + 373094964225 = 798064^2 + 610815^2 .

It is a cyclic number.

It is not a de Polignac number, because 1010001112321 - 2²⁷ = 1009866894593 is a prime.

It is not a weakly prime, because it can be changed into another prime (1010001112331) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505000556160 + 505000556161.

It is an arithmetic number, because the mean of its divisors is an integer number (505000556161).

Almost surely, 2^{1010001112321} is an apocalyptic number.

It is an amenable number.

1010001112321 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010001112321 is an equidigital number, since it uses as much as digits as its factorization.

1010001112321 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 1010001112321 its reverse (1232111000101), we get a palindrome (2242112112422).

The spelling of 1010001112321 in words is "one trillion, ten billion, one million, one hundred twelve thousand, three hundred twenty-one".