10121121101200 has 30 divisors (see below), whose sum is σ = 24315993446594. Its totient is φ = 4048448440320.

The previous prime is 10121121101177. The next prime is 10121121101207. The reversal of 10121121101200 is 210112112101.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 30409779456 + 10090711321744 = 174384^2 + 3176588^2 .

It is not an unprimeable number, because it can be changed into a prime (10121121101207) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12651400977 + ... + 12651401776.

Almost surely, 2^{10121121101200} is an apocalyptic number.

10121121101200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10121121101200 is an abundant number, since it is smaller than the sum of its proper divisors (14194872345394).

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

10121121101200 is a wasteful number, since it uses less digits than its factorization.

10121121101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25302802771 (or 25302802760 counting only the distinct ones).

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

Adding to 10121121101200 its reverse (210112112101), we get a palindrome (10331233213301).

The spelling of 10121121101200 in words is "ten trillion, one hundred twenty-one billion, one hundred twenty-one million, one hundred one thousand, two hundred".