102111121000200 has 192 divisors, whose sum is σ = 340901334668160. Its totient is φ = 25134508062720.

The previous prime is 102111121000193. The next prime is 102111121000211. The reversal of 102111121000200 is 2000121111201.

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

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, 463342437 + ... + 463562763.

It is an arithmetic number, because the mean of its divisors is an integer number (1775527784730).

Almost surely, 2^{102111121000200} is an apocalyptic number.

102111121000200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102111121000200 is an abundant number, since it is smaller than the sum of its proper divisors (238790213667960).

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

102111121000200 is a wasteful number, since it uses less digits than its factorization.

102111121000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279776 (or 279767 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 102111121000200 its reverse (2000121111201), we get a palindrome (104111242111401).

The spelling of 102111121000200 in words is "one hundred two trillion, one hundred eleven billion, one hundred twenty-one million, two hundred", and thus it is an aban number.