102212101200 has 240 divisors, whose sum is σ = 372715716096. Its totient is φ = 23701286400.

The previous prime is 102212101127. The next prime is 102212101207. The reversal of 102212101200 is 2101212201.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102212101207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 135267 + ... + 471933.

Almost surely, 2^102212101200 is an apocalyptic number.

102212101200 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 102212101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186357858048).

102212101200 is an abundant number, since it is smaller than the sum of its proper divisors (270503614896).

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

102212101200 is a wasteful number, since it uses less digits than its factorization.

102212101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336722 (or 336711 counting only the distinct ones).

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

Adding to 102212101200 its reverse (2101212201), we get a palindrome (104313313401).

The spelling of 102212101200 in words is "one hundred two billion, two hundred twelve million, one hundred one thousand, two hundred".