102021414444 has 288 divisors, whose sum is σ = 276394809600. Its totient is φ = 31695505920.

The previous prime is 102021414431. The next prime is 102021414457. The reversal of 102021414444 is 444414120201.

It is a happy number.

102021414444 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 214 + 1 + 4 + 444 = 666.

It is an interprime number because it is at equal distance from previous prime (102021414431) and next prime (102021414457).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 569951947 + ... + 569952125.

It is an arithmetic number, because the mean of its divisors is an integer number (959704200).

Almost surely, 2^102021414444 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 102021414444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138197404800).

102021414444 is an abundant number, since it is smaller than the sum of its proper divisors (174373395156).

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

102021414444 is a wasteful number, since it uses less digits than its factorization.

102021414444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445 (or 440 counting only the distinct ones).

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

Adding to 102021414444 its reverse (444414120201), we get a palindrome (546435534645).

The spelling of 102021414444 in words is "one hundred two billion, twenty-one million, four hundred fourteen thousand, four hundred forty-four".