10121302111200 has 576 divisors, whose sum is σ = 37989313528320. Its totient is φ = 2292725514240.

The previous prime is 10121302111199. The next prime is 10121302111231. The reversal of 10121302111200 is 211120312101.

10121302111200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 10121302111200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1516751064 + ... + 1516757736.

It is an arithmetic number, because the mean of its divisors is an integer number (65953669320).

Almost surely, 2^{10121302111200} is an apocalyptic number.

10121302111200 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 10121302111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18994656764160).

10121302111200 is an abundant number, since it is smaller than the sum of its proper divisors (27868011417120).

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

10121302111200 is a wasteful number, since it uses less digits than its factorization.

10121302111200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7499 (or 7486 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 10121302111200 its reverse (211120312101), we get a palindrome (10332422423301).

The spelling of 10121302111200 in words is "ten trillion, one hundred twenty-one billion, three hundred two million, one hundred eleven thousand, two hundred".