102102212200 has 96 divisors (see below), whose sum is σ = 241323572160. Its totient is φ = 40169292800.

The previous prime is 102102212153. The next prime is 102102212207. The reversal of 102102212200 is 2212201201.

It is a happy number.

It is a super-2 number, since 2×102102212200² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102102212207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2943357 + ... + 2977843.

It is an arithmetic number, because the mean of its divisors is an integer number (2513787210).

Almost surely, 2^102102212200 is an apocalyptic number.

102102212200 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 102102212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120661786080).

102102212200 is an abundant number, since it is smaller than the sum of its proper divisors (139221359960).

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

102102212200 is a wasteful number, since it uses less digits than its factorization.

102102212200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34747 (or 34738 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 102102212200 its reverse (2212201201), we get a palindrome (104314413401).

The spelling of 102102212200 in words is "one hundred two billion, one hundred two million, two hundred twelve thousand, two hundred".