102001420224 has 252 divisors, whose sum is σ = 323071589568. Its totient is φ = 30745313280.

The previous prime is 102001420153. The next prime is 102001420267. The reversal of 102001420224 is 422024100201.

102001420224 is a `hidden beast` number, since 1 + 0 + 20 + 0 + 1 + 420 + 224 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 102001420197 and 102001420206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 13447537 + ... + 13455119.

Almost surely, 2^102001420224 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 102001420224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161535794784).

102001420224 is an abundant number, since it is smaller than the sum of its proper divisors (221070169344).

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

102001420224 is a wasteful number, since it uses less digits than its factorization.

102001420224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7816 (or 7792 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 102001420224 its reverse (422024100201), we get a palindrome (524025520425).

It can be divided in two parts, 102001 and 420224, that added together give a palindrome (522225).

The spelling of 102001420224 in words is "one hundred two billion, one million, four hundred twenty thousand, two hundred twenty-four".