102012110200 has 384 divisors, whose sum is σ = 324979200000. Its totient is φ = 29347315200.

The previous prime is 102012110173. The next prime is 102012110279. The reversal of 102012110200 is 2011210201.

It is a Harshad number since it is a multiple of its sum of digits (10).

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 95 ways as a sum of consecutive naturals, for example, 9804601 + ... + 9814999.

It is an arithmetic number, because the mean of its divisors is an integer number (846300000).

Almost surely, 2^102012110200 is an apocalyptic number.

102012110200 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 102012110200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162489600000).

102012110200 is an abundant number, since it is smaller than the sum of its proper divisors (222967089800).

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

102012110200 is a wasteful number, since it uses less digits than its factorization.

102012110200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10460 (or 10437 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 102012110200 its reverse (2011210201), we get a palindrome (104023320401).

It can be divided in two parts, 102012 and 110200, that added together give a palindrome (212212).

The spelling of 102012110200 in words is "one hundred two billion, twelve million, one hundred ten thousand, two hundred".