102210022200 has 384 divisors, whose sum is σ = 374196049920. Its totient is φ = 22752307200.

The previous prime is 102210022183. The next prime is 102210022217. The reversal of 102210022200 is 2220012201.

It is an interprime number because it is at equal distance from previous prime (102210022183) and next prime (102210022217).

It is a super-3 number, since 3×102210022200³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16899577 + ... + 16905623.

It is an arithmetic number, because the mean of its divisors is an integer number (974468880).

Almost surely, 2^102210022200 is an apocalyptic number.

102210022200 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 102210022200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187098024960).

102210022200 is an abundant number, since it is smaller than the sum of its proper divisors (271986027720).

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

102210022200 is a wasteful number, since it uses less digits than its factorization.

102210022200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6287 (or 6278 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 102210022200 its reverse (2220012201), we get a palindrome (104430034401).

Subtracting from 102210022200 its reverse (2220012201), we obtain a palindrome (99990009999).

The spelling of 102210022200 in words is "one hundred two billion, two hundred ten million, twenty-two thousand, two hundred".