102201313032 has 512 divisors, whose sum is σ = 370355328000. Its totient is φ = 25384181760.

The previous prime is 102201313009. The next prime is 102201313057. The reversal of 102201313032 is 230313102201.

102201313032 is a `hidden beast` number, since 10 + 220 + 131 + 303 + 2 = 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 = 102201312996 and 102201313014.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 23368798 + ... + 23373170.

It is an arithmetic number, because the mean of its divisors is an integer number (723350250).

Almost surely, 2^102201313032 is an apocalyptic number.

102201313032 is a gapful number since it is divisible by the number (12) 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 102201313032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185177664000).

102201313032 is an abundant number, since it is smaller than the sum of its proper divisors (268154014968).

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

102201313032 is a wasteful number, since it uses less digits than its factorization.

102201313032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4478 (or 4468 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 102201313032 its reverse (230313102201), we get a palindrome (332514415233).

The spelling of 102201313032 in words is "one hundred two billion, two hundred one million, three hundred thirteen thousand, thirty-two".