20101221212200 has 48 divisors (see below), whose sum is σ = 47198065497660. Its totient is φ = 7960879680000.

The previous prime is 20101221212159. The next prime is 20101221212221. The reversal of 20101221212200 is 221212210102.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 6427451998564 + 13673769213636 = 2535242^2 + 3697806^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 497534781 + ... + 497575180.

Almost surely, 2^{20101221212200} is an apocalyptic number.

20101221212200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20101221212200 is an abundant number, since it is smaller than the sum of its proper divisors (27096844285460).

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

20101221212200 is a wasteful number, since it uses less digits than its factorization.

20101221212200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 995110078 (or 995110069 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 20101221212200 its reverse (221212210102), we get a palindrome (20322433422302).

The spelling of 20101221212200 in words is "twenty trillion, one hundred one billion, two hundred twenty-one million, two hundred twelve thousand, two hundred".