10122121021200 has 240 divisors, whose sum is σ = 34475517354240. Its totient is φ = 2529823170560.

The previous prime is 10122121021093. The next prime is 10122121021213. The reversal of 10122121021200 is 212012122101.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10122121021200.

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, 3837562 + ... + 5913638.

It is an arithmetic number, because the mean of its divisors is an integer number (143647988976).

Almost surely, 2^{10122121021200} is an apocalyptic number.

10122121021200 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 10122121021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17237758677120).

10122121021200 is an abundant number, since it is smaller than the sum of its proper divisors (24353396333040).

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

10122121021200 is a wasteful number, since it uses less digits than its factorization.

10122121021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2076354 (or 2076343 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10122121021200 its reverse (212012122101), we get a palindrome (10334133143301).

The spelling of 10122121021200 in words is "ten trillion, one hundred twenty-two billion, one hundred twenty-one million, twenty-one thousand, two hundred".