102214000241 has 16 divisors (see below), whose sum is σ = 107493848064. Its totient is φ = 97004565504.

The previous prime is 102214000223. The next prime is 102214000249. The reversal of 102214000241 is 142000412201.

It is a cyclic number.

It is not a de Polignac number, because 102214000241 - 2²² = 102209805937 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102214000249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6745025 + ... + 6760161.

It is an arithmetic number, because the mean of its divisors is an integer number (6718365504).

Almost surely, 2^102214000241 is an apocalyptic number.

It is an amenable number.

102214000241 is a deficient number, since it is larger than the sum of its proper divisors (5279847823).

102214000241 is a wasteful number, since it uses less digits than its factorization.

102214000241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17440.

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 102214000241 its reverse (142000412201), we get a palindrome (244214412442).

The spelling of 102214000241 in words is "one hundred two billion, two hundred fourteen million, two hundred forty-one", and thus it is an aban number.