10121121221200 has 120 divisors (see below), whose sum is σ = 26528288911200. Its totient is φ = 3680164876800.

The previous prime is 10121121221177. The next prime is 10121121221201. The reversal of 10121121221200 is 212212112101.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10121121221201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75071451 + ... + 75206149.

It is an arithmetic number, because the mean of its divisors is an integer number (221069074260).

Almost surely, 2^{10121121221200} is an apocalyptic number.

10121121221200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10121121221200 is an abundant number, since it is smaller than the sum of its proper divisors (16407167690000).

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

10121121221200 is a wasteful number, since it uses less digits than its factorization.

10121121221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151805 (or 151794 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 10121121221200 its reverse (212212112101), we get a palindrome (10333333333301).

The spelling of 10121121221200 in words is "ten trillion, one hundred twenty-one billion, one hundred twenty-one million, two hundred twenty-one thousand, two hundred".