10210011120641 has 2 divisors, whose sum is σ = 10210011120642. Its totient is φ = 10210011120640.

The previous prime is 10210011120503. The next prime is 10210011120677. The reversal of 10210011120641 is 14602111001201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8569255074241 + 1640756046400 = 2927329^2 + 1280920^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10210011120641 is a prime.

It is a super-2 number, since 2×10210011120641² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10210011120041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5105005560320 + 5105005560321.

It is an arithmetic number, because the mean of its divisors is an integer number (5105005560321).

Almost surely, 2^{10210011120641} is an apocalyptic number.

It is an amenable number.

10210011120641 is a deficient number, since it is larger than the sum of its proper divisors (1).

10210011120641 is an equidigital number, since it uses as much as digits as its factorization.

10210011120641 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 20.

Adding to 10210011120641 its reverse (14602111001201), we get a palindrome (24812122121842).

The spelling of 10210011120641 in words is "ten trillion, two hundred ten billion, eleven million, one hundred twenty thousand, six hundred forty-one".