201001022110081 has 2 divisors, whose sum is σ = 201001022110082. Its totient is φ = 201001022110080.

The previous prime is 201001022110067. The next prime is 201001022110127. The reversal of 201001022110081 is 180011220100102.

201001022110081 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 183552097459600 + 17448924650481 = 13548140^2 + 4177191^2 .

It is a cyclic number.

It is not a de Polignac number, because 201001022110081 - 2²¹ = 201001020012929 is a prime.

It is a super-2 number, since 2×201001022110081² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (201001022110051) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100500511055040 + 100500511055041.

It is an arithmetic number, because the mean of its divisors is an integer number (100500511055041).

Almost surely, 2^{201001022110081} is an apocalyptic number.

It is an amenable number.

201001022110081 is a deficient number, since it is larger than the sum of its proper divisors (1).

201001022110081 is an equidigital number, since it uses as much as digits as its factorization.

201001022110081 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 201001022110081 its reverse (180011220100102), we get a palindrome (381012242210183).

The spelling of 201001022110081 in words is "two hundred one trillion, one billion, twenty-two million, one hundred ten thousand, eighty-one".