20101212021200 has 60 divisors (see below), whose sum is σ = 48771312096588. Its totient is φ = 7960876032000.

The previous prime is 20101212021199. The next prime is 20101212021221. The reversal of 20101212021200 is 212021210102.

It can be written as a sum of positive squares in 6 ways, for example, as 3965180108176 + 16136031913024 = 1991276^2 + 4016968^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 248736977 + ... + 248817776.

Almost surely, 2^{20101212021200} is an apocalyptic number.

20101212021200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20101212021200 is an abundant number, since it is smaller than the sum of its proper divisors (28670100075388).

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

20101212021200 is a wasteful number, since it uses less digits than its factorization.

20101212021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497554872 (or 497554861 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 20101212021200 its reverse (212021210102), we get a palindrome (20313233231302).

The spelling of 20101212021200 in words is "twenty trillion, one hundred one billion, two hundred twelve million, twenty-one thousand, two hundred".