10400212321 has 2 divisors, whose sum is σ = 10400212322. Its totient is φ = 10400212320.

The previous prime is 10400212201. The next prime is 10400212363. The reversal of 10400212321 is 12321200401.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6055952400 + 4344259921 = 77820^2 + 65911^2 .

It is an emirp because it is prime and its reverse (12321200401) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10400212321 - 2²³ = 10391823713 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10400212295 and 10400212304.

It is not a weakly prime, because it can be changed into another prime (10400212421) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5200106160 + 5200106161.

It is an arithmetic number, because the mean of its divisors is an integer number (5200106161).

Almost surely, 2^10400212321 is an apocalyptic number.

It is an amenable number.

10400212321 is a deficient number, since it is larger than the sum of its proper divisors (1).

10400212321 is an equidigital number, since it uses as much as digits as its factorization.

10400212321 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 10400212321 its reverse (12321200401), we get a palindrome (22721412722).

The spelling of 10400212321 in words is "ten billion, four hundred million, two hundred twelve thousand, three hundred twenty-one".