102211258008649 has 2 divisors, whose sum is σ = 102211258008650. Its totient is φ = 102211258008648.

The previous prime is 102211258008493. The next prime is 102211258008737. The reversal of 102211258008649 is 946800852112201.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 96913550203024 + 5297707805625 = 9844468^2 + 2301675^2 .

It is a cyclic number.

It is not a de Polignac number, because 102211258008649 - 2¹¹ = 102211258006601 is a prime.

It is a super-2 number, since 2×102211258008649² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (102211258008149) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51105629004324 + 51105629004325.

It is an arithmetic number, because the mean of its divisors is an integer number (51105629004325).

Almost surely, 2^{102211258008649} is an apocalyptic number.

It is an amenable number.

102211258008649 is a deficient number, since it is larger than the sum of its proper divisors (1).

102211258008649 is an equidigital number, since it uses as much as digits as its factorization.

102211258008649 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 552960, while the sum is 49.

The spelling of 102211258008649 in words is "one hundred two trillion, two hundred eleven billion, two hundred fifty-eight million, eight thousand, six hundred forty-nine".