21322128016001 has 2 divisors, whose sum is σ = 21322128016002. Its totient is φ = 21322128016000.

The previous prime is 21322128015949. The next prime is 21322128016061. The reversal of 21322128016001 is 10061082122312.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 13743339254401 + 7578788761600 = 3707201^2 + 2752960^2 .

It is a cyclic number.

It is not a de Polignac number, because 21322128016001 - 2¹⁴ = 21322127999617 is a prime.

It is not a weakly prime, because it can be changed into another prime (21322128016061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10661064008000 + 10661064008001.

It is an arithmetic number, because the mean of its divisors is an integer number (10661064008001).

Almost surely, 2^{21322128016001} is an apocalyptic number.

It is an amenable number.

21322128016001 is a deficient number, since it is larger than the sum of its proper divisors (1).

21322128016001 is an equidigital number, since it uses as much as digits as its factorization.

21322128016001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2304, while the sum is 29.

The spelling of 21322128016001 in words is "twenty-one trillion, three hundred twenty-two billion, one hundred twenty-eight million, sixteen thousand, one".