102211258008561 has 16 divisors (see below), whose sum is σ = 146921516093184. Its totient is φ = 62832107355264.

The previous prime is 102211258008493. The next prime is 102211258008649. The reversal of 102211258008561 is 165800852112201.

It is a happy number.

It is not a de Polignac number, because 102211258008561 - 2¹¹ = 102211258006513 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102211258208561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1398470121 + ... + 1398543206.

It is an arithmetic number, because the mean of its divisors is an integer number (9182594755824).

Almost surely, 2^{102211258008561} is an apocalyptic number.

It is an amenable number.

102211258008561 is a deficient number, since it is larger than the sum of its proper divisors (44710258084623).

102211258008561 is a wasteful number, since it uses less digits than its factorization.

102211258008561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2797014280.

The product of its (nonzero) digits is 76800, while the sum is 42.

The spelling of 102211258008561 in words is "one hundred two trillion, two hundred eleven billion, two hundred fifty-eight million, eight thousand, five hundred sixty-one".