121110210000 has 600 divisors, whose sum is σ = 483029787240. Its totient is φ = 28053504000.

The previous prime is 121110209999. The next prime is 121110210121. The reversal of 121110210000 is 12011121.

It is a happy number.

It can be written as a sum of positive squares in 20 ways, for example, as 120253594176 + 856615824 = 346776^2 + 29268^2 .

It is a tau number, because it is divible by the number of its divisors (600).

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 polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 19886956 + ... + 19893044.

Almost surely, 2^121110210000 is an apocalyptic number.

121110210000 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 121110210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241514893620).

121110210000 is an abundant number, since it is smaller than the sum of its proper divisors (361919577240).

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

121110210000 is a wasteful number, since it uses less digits than its factorization.

121110210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6153 (or 6129 counting only the distinct ones).

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

Adding to 121110210000 its reverse (12011121), we get a palindrome (121122221121).

The spelling of 121110210000 in words is "one hundred twenty-one billion, one hundred ten million, two hundred ten thousand".