102112211200 has 108 divisors (see below), whose sum is σ = 253386616420. Its totient is φ = 40740986880.

The previous prime is 102112211191. The next prime is 102112211281. The reversal of 102112211200 is 2112211201.

It can be written as a sum of positive squares in 6 ways, for example, as 14600372224 + 87511838976 = 120832^2 + 295824^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2520706 + ... + 2560894.

Almost surely, 2^102112211200 is an apocalyptic number.

102112211200 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 102112211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126693308210).

102112211200 is an abundant number, since it is smaller than the sum of its proper divisors (151274405220).

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

102112211200 is an equidigital number, since it uses as much as digits as its factorization.

102112211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40612 (or 40593 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 102112211200 its reverse (2112211201), we get a palindrome (104224422401).

Subtracting from 102112211200 its reverse (2112211201), we obtain a palindrome (99999999999).

The spelling of 102112211200 in words is "one hundred two billion, one hundred twelve million, two hundred eleven thousand, two hundred".