10121010012200 has 24 divisors (see below), whose sum is σ = 23531348278830. Its totient is φ = 4048404004800.

The previous prime is 10121010012199. The next prime is 10121010012203. The reversal of 10121010012200 is 221001012101.

It can be written as a sum of positive squares in 3 ways, for example, as 5863052047876 + 4257957964324 = 2421374^2 + 2063482^2 .

It is not an unprimeable number, because it can be changed into a prime (10121010012203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 25302524831 + ... + 25302525230.

Almost surely, 2^{10121010012200} is an apocalyptic number.

10121010012200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10121010012200 is an abundant number, since it is smaller than the sum of its proper divisors (13410338266630).

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

10121010012200 is a wasteful number, since it uses less digits than its factorization.

10121010012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50605050077 (or 50605050068 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10121010012200 its reverse (221001012101), we get a palindrome (10342011024301).

Subtracting from 10121010012200 its reverse (221001012101), we obtain a palindrome (9900009000099).

The spelling of 10121010012200 in words is "ten trillion, one hundred twenty-one billion, ten million, twelve thousand, two hundred".