211321255141201 has 2 divisors, whose sum is σ = 211321255141202. Its totient is φ = 211321255141200.

The previous prime is 211321255141181. The next prime is 211321255141267. The reversal of 211321255141201 is 102141552123112.

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., 153802758172176 + 57518496969025 = 12401724^2 + 7584095^2 .

It is a cyclic number.

It is not a de Polignac number, because 211321255141201 - 2³⁹ = 210771499327313 is a prime.

It is not a weakly prime, because it can be changed into another prime (211321255141001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105660627570600 + 105660627570601.

It is an arithmetic number, because the mean of its divisors is an integer number (105660627570601).

Almost surely, 2^{211321255141201} is an apocalyptic number.

It is an amenable number.

211321255141201 is a deficient number, since it is larger than the sum of its proper divisors (1).

211321255141201 is an equidigital number, since it uses as much as digits as its factorization.

211321255141201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4800, while the sum is 31.

The spelling of 211321255141201 in words is "two hundred eleven trillion, three hundred twenty-one billion, two hundred fifty-five million, one hundred forty-one thousand, two hundred one".