10122121000200 has 768 divisors, whose sum is σ = 36642054758400. Its totient is φ = 2286983987200.

The previous prime is 10122121000031. The next prime is 10122121000219. The reversal of 10122121000200 is 200012122101.

It is a super-3 number, since 3×10122121000200³ (a number of 40 digits) contains 333 as substring.

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 191 ways as a sum of consecutive naturals, for example, 1662358756 + ... + 1662364844.

It is an arithmetic number, because the mean of its divisors is an integer number (47711008800).

Almost surely, 2^{10122121000200} is an apocalyptic number.

10122121000200 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 10122121000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18321027379200).

10122121000200 is an abundant number, since it is smaller than the sum of its proper divisors (26519933758200).

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

10122121000200 is a wasteful number, since it uses less digits than its factorization.

10122121000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6422 (or 6413 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10122121000200 its reverse (200012122101), we get a palindrome (10322133122301).

It can be divided in two parts, 1012 and 2121000200, that added together give a palindrome (2121001212).

The spelling of 10122121000200 in words is "ten trillion, one hundred twenty-two billion, one hundred twenty-one million, two hundred", and thus it is an aban number.