102202112000 has 96 divisors (see below), whose sum is σ = 255034830960. Its totient is φ = 40880742400.

The previous prime is 102202111967. The next prime is 102202112003. The reversal of 102202112000 is 211202201.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102202112003) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 56387 + ... + 455613.

Almost surely, 2^102202112000 is an apocalyptic number.

102202112000 is a gapful number since it is divisible by the number (10) 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 102202112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127517415480).

102202112000 is an abundant number, since it is smaller than the sum of its proper divisors (152832718960).

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

102202112000 is an frugal number, since it uses more digits than its factorization.

102202112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399264 (or 399234 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 102202112000 its reverse (211202201), we get a palindrome (102413314201).

The spelling of 102202112000 in words is "one hundred two billion, two hundred two million, one hundred twelve thousand".