102201011008 has 56 divisors (see below), whose sum is σ = 207314088800. Its totient is φ = 49975377408.

The previous prime is 102201010979. The next prime is 102201011041. The reversal of 102201011008 is 800110102201.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 102201010982 and 102201011000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 510298 + ... + 681766.

It is an arithmetic number, because the mean of its divisors is an integer number (3702037300).

Almost surely, 2^102201011008 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 102201011008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103657044400).

102201011008 is an abundant number, since it is smaller than the sum of its proper divisors (105113077792).

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

102201011008 is a wasteful number, since it uses less digits than its factorization.

102201011008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171687 (or 171677 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 102201011008 its reverse (800110102201), we get a palindrome (902311113209).

The spelling of 102201011008 in words is "one hundred two billion, two hundred one million, eleven thousand, eight".