102210211200 has 384 divisors, whose sum is σ = 356066496000. Its totient is φ = 25698263040.

The previous prime is 102210211163. The next prime is 102210211237. The reversal of 102210211200 is 2112012201.

It is an interprime number because it is at equal distance from previous prime (102210211163) and next prime (102210211237).

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 41768377 + ... + 41770823.

It is an arithmetic number, because the mean of its divisors is an integer number (927256500).

Almost surely, 2^102210211200 is an apocalyptic number.

102210211200 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 102210211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178033248000).

102210211200 is an abundant number, since it is smaller than the sum of its proper divisors (253856284800).

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

102210211200 is a wasteful number, since it uses less digits than its factorization.

102210211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2722 (or 2705 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 102210211200 its reverse (2112012201), we get a palindrome (104322223401).

The spelling of 102210211200 in words is "one hundred two billion, two hundred ten million, two hundred eleven thousand, two hundred".