102214113144 has 128 divisors (see below), whose sum is σ = 300406579200. Its totient is φ = 28572572160.

The previous prime is 102214113143. The next prime is 102214113149. The reversal of 102214113144 is 441311412201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102214113143) 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 31 ways as a sum of consecutive naturals, for example, 5698462 + ... + 5716370.

It is an arithmetic number, because the mean of its divisors is an integer number (2346926400).

Almost surely, 2^102214113144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102214113144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150203289600).

102214113144 is an abundant number, since it is smaller than the sum of its proper divisors (198192466056).

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

102214113144 is a wasteful number, since it uses less digits than its factorization.

102214113144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19605 (or 19601 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 102214113144 its reverse (441311412201), we get a palindrome (543525525345).

The spelling of 102214113144 in words is "one hundred two billion, two hundred fourteen million, one hundred thirteen thousand, one hundred forty-four".