102216450266055 has 96 divisors (see below), whose sum is σ = 177903395953920. Its totient is φ = 54291957350400.

The previous prime is 102216450266053. The next prime is 102216450266057. The reversal of 102216450266055 is 550662054612201.

102216450266055 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 16 + 4 + 5 + 0 + 26 + 605 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (102216450266053) and next prime (102216450266057).

It is not a de Polignac number, because 102216450266055 - 2¹ = 102216450266053 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 102216450266055.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102216450266053) 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 95 ways as a sum of consecutive naturals, for example, 33657044997 + ... + 33657048033.

It is an arithmetic number, because the mean of its divisors is an integer number (1853160374520).

Almost surely, 2^{102216450266055} is an apocalyptic number.

102216450266055 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

102216450266055 is a deficient number, since it is larger than the sum of its proper divisors (75686945687865).

102216450266055 is a wasteful number, since it uses less digits than its factorization.

102216450266055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6121 (or 6118 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 102216450266055 in words is "one hundred two trillion, two hundred sixteen billion, four hundred fifty million, two hundred sixty-six thousand, fifty-five".