102014442414 has 32 divisors (see below), whose sum is σ = 230541120000. Its totient is φ = 33428460312.

The previous prime is 102014442379. The next prime is 102014442421. The reversal of 102014442414 is 414244410201.

It is a happy number.

102014442414 is a `hidden beast` number, since 1 + 0 + 201 + 4 + 4 + 42 + 414 = 666.

It is a super-2 number, since 2×102014442414² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16006614 + ... + 16012985.

It is an arithmetic number, because the mean of its divisors is an integer number (7204410000).

Almost surely, 2^102014442414 is an apocalyptic number.

102014442414 is an abundant number, since it is smaller than the sum of its proper divisors (128526677586).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102014442414 is a wasteful number, since it uses less digits than its factorization.

102014442414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32019669 (or 32019663 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 102014442414 its reverse (414244410201), we get a palindrome (516258852615).

The spelling of 102014442414 in words is "one hundred two billion, fourteen million, four hundred forty-two thousand, four hundred fourteen".