101000210011201 has 2 divisors, whose sum is σ = 101000210011202. Its totient is φ = 101000210011200.

The previous prime is 101000210011097. The next prime is 101000210011249. The reversal of 101000210011201 is 102110012000101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 54791158431025 + 46209051580176 = 7402105^2 + 6797724^2 .

It is a cyclic number.

It is not a de Polignac number, because 101000210011201 - 2¹³ = 101000210003009 is a prime.

It is not a weakly prime, because it can be changed into another prime (101000210011301) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50500105005600 + 50500105005601.

It is an arithmetic number, because the mean of its divisors is an integer number (50500105005601).

Almost surely, 2^{101000210011201} is an apocalyptic number.

It is an amenable number.

101000210011201 is a deficient number, since it is larger than the sum of its proper divisors (1).

101000210011201 is an equidigital number, since it uses as much as digits as its factorization.

101000210011201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 101000210011201 its reverse (102110012000101), we get a palindrome (203110222011302).

The spelling of 101000210011201 in words is "one hundred one trillion, two hundred ten million, eleven thousand, two hundred one".