102100011200 has 336 divisors, whose sum is σ = 291446346240. Its totient is φ = 34813440000.

The previous prime is 102100011191. The next prime is 102100011227. The reversal of 102100011200 is 2110001201.

It is a Harshad number since it is a multiple of its sum of digits (8).

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, 33772889 + ... + 33775911.

It is an arithmetic number, because the mean of its divisors is an integer number (867399840).

Almost surely, 2^102100011200 is an apocalyptic number.

102100011200 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 102100011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145723173120).

102100011200 is an abundant number, since it is smaller than the sum of its proper divisors (189346335040).

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

102100011200 is a wasteful number, since it uses less digits than its factorization.

102100011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3176 (or 3161 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 102100011200 its reverse (2110001201), we get a palindrome (104210012401).

Subtracting from 102100011200 its reverse (2110001201), we obtain a palindrome (99990009999).

It can be divided in two parts, 10210001 and 1200, that added together give a palindrome (10211201).

The spelling of 102100011200 in words is "one hundred two billion, one hundred million, eleven thousand, two hundred".