10121012111200 has 72 divisors (see below), whose sum is σ = 26161327958472. Its totient is φ = 3810263377920.

The previous prime is 10121012111167. The next prime is 10121012111207. The reversal of 10121012111200 is 211121012101.

It is a happy number.

10121012111200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10121012111207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 372082434 + ... + 372109633.

It is an arithmetic number, because the mean of its divisors is an integer number (363351777201).

Almost surely, 2^{10121012111200} is an apocalyptic number.

10121012111200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10121012111200 is an abundant number, since it is smaller than the sum of its proper divisors (16040315847272).

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

10121012111200 is a wasteful number, since it uses less digits than its factorization.

10121012111200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 744192104 (or 744192091 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 10121012111200 its reverse (211121012101), we get a palindrome (10332133123301).

The spelling of 10121012111200 in words is "ten trillion, one hundred twenty-one billion, twelve million, one hundred eleven thousand, two hundred".