221157600401 has 2 divisors, whose sum is σ = 221157600402. Its totient is φ = 221157600400.

The previous prime is 221157600383. The next prime is 221157600409. The reversal of 221157600401 is 104006751122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 151461072400 + 69696528001 = 389180^2 + 264001^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-221157600401 is a prime.

It is not a weakly prime, because it can be changed into another prime (221157600409) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110578800200 + 110578800201.

It is an arithmetic number, because the mean of its divisors is an integer number (110578800201).

Almost surely, 2^221157600401 is an apocalyptic number.

It is an amenable number.

221157600401 is a deficient number, since it is larger than the sum of its proper divisors (1).

221157600401 is an equidigital number, since it uses as much as digits as its factorization.

221157600401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3360, while the sum is 29.

The spelling of 221157600401 in words is "two hundred twenty-one billion, one hundred fifty-seven million, six hundred thousand, four hundred one".