102100111200 has 360 divisors, whose sum is σ = 373213847160. Its totient is φ = 27162777600.

The previous prime is 102100111151. The next prime is 102100111237. The reversal of 102100111200 is 2111001201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 31815196 + ... + 31818404.

It is an arithmetic number, because the mean of its divisors is an integer number (1036705131).

Almost surely, 2^102100111200 is an apocalyptic number.

102100111200 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 102100111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186606923580).

102100111200 is an abundant number, since it is smaller than the sum of its proper divisors (271113735960).

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

102100111200 is a wasteful number, since it uses less digits than its factorization.

102100111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3732 (or 3710 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 102100111200 its reverse (2111001201), we get a palindrome (104211112401).

The spelling of 102100111200 in words is "one hundred two billion, one hundred million, one hundred eleven thousand, two hundred".