102014024200 has 96 divisors (see below), whose sum is σ = 259573073760. Its totient is φ = 36977241600.

The previous prime is 102014024141. The next prime is 102014024209. The reversal of 102014024200 is 2420410201.

It is a super-2 number, since 2×102014024200² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102014024209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 614527 + ... + 762673.

It is an arithmetic number, because the mean of its divisors is an integer number (2703886185).

Almost surely, 2^102014024200 is an apocalyptic number.

102014024200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102014024200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129786536880).

102014024200 is an abundant number, since it is smaller than the sum of its proper divisors (157559049560).

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

102014024200 is a wasteful number, since it uses less digits than its factorization.

102014024200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148487 (or 148478 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 102014024200 its reverse (2420410201), we get a palindrome (104434434401).

The spelling of 102014024200 in words is "one hundred two billion, fourteen million, twenty-four thousand, two hundred".