101001100000201 has 2 divisors, whose sum is σ = 101001100000202. Its totient is φ = 101001100000200.

The previous prime is 101001100000181. The next prime is 101001100000253. The reversal of 101001100000201 is 102000001100101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 97829922591801 + 3171177408400 = 9890901^2 + 1780780^2 .

It is a cyclic number.

It is not a de Polignac number, because 101001100000201 - 2²⁷ = 101000965782473 is a prime.

It is not a weakly prime, because it can be changed into another prime (101001100000301) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50500550000100 + 50500550000101.

It is an arithmetic number, because the mean of its divisors is an integer number (50500550000101).

Almost surely, 2^{101001100000201} is an apocalyptic number.

It is an amenable number.

101001100000201 is a deficient number, since it is larger than the sum of its proper divisors (1).

101001100000201 is an equidigital number, since it uses as much as digits as its factorization.

101001100000201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 101001100000201 its reverse (102000001100101), we get a palindrome (203001101100302).

The spelling of 101001100000201 in words is "one hundred one trillion, one billion, one hundred million, two hundred one", and thus it is an aban number.