10201211020081 has 2 divisors, whose sum is σ = 10201211020082. Its totient is φ = 10201211020080.

The previous prime is 10201211020079. The next prime is 10201211020093. The reversal of 10201211020081 is 18002011210201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9384327658225 + 816883361856 = 3063385^2 + 903816^2 .

It is a cyclic number.

It is not a de Polignac number, because 10201211020081 - 2¹ = 10201211020079 is a prime.

It is a super-2 number, since 2×10201211020081² (a number of 27 digits) contains 22 as substring.

Together with 10201211020079, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (10201211026081) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5100605510040 + 5100605510041.

It is an arithmetic number, because the mean of its divisors is an integer number (5100605510041).

Almost surely, 2^{10201211020081} is an apocalyptic number.

It is an amenable number.

10201211020081 is a deficient number, since it is larger than the sum of its proper divisors (1).

10201211020081 is an equidigital number, since it uses as much as digits as its factorization.

10201211020081 is an odious number, because the sum of its binary digits is odd.

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

Adding to 10201211020081 its reverse (18002011210201), we get a palindrome (28203222230282).

The spelling of 10201211020081 in words is "ten trillion, two hundred one billion, two hundred eleven million, twenty thousand, eighty-one".