102022767216 has 400 divisors, whose sum is σ = 326474916768. Its totient is φ = 30622924800.

The previous prime is 102022767173. The next prime is 102022767239. The reversal of 102022767216 is 612767220201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 47874471 + ... + 47876601.

Almost surely, 2^102022767216 is an apocalyptic number.

102022767216 is a gapful number since it is divisible by the number (16) 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 102022767216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163237458384).

102022767216 is an abundant number, since it is smaller than the sum of its proper divisors (224452149552).

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

102022767216 is a wasteful number, since it uses less digits than its factorization.

102022767216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2262 (or 2247 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

Adding to 102022767216 its reverse (612767220201), we get a palindrome (714789987417).

The spelling of 102022767216 in words is "one hundred two billion, twenty-two million, seven hundred sixty-seven thousand, two hundred sixteen".