10212021022100 has 18 divisors (see below), whose sum is σ = 22160085618174. Its totient is φ = 4084808408800.

The previous prime is 10212021022087. The next prime is 10212021022121. The reversal of 10212021022100 is 122012021201.

10212021022100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 238829644804 + 9973191377296 = 488702^2 + 3158036^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 51060105011 + ... + 51060105210.

Almost surely, 2^{10212021022100} is an apocalyptic number.

10212021022100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10212021022100 is an abundant number, since it is smaller than the sum of its proper divisors (11948064596074).

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

10212021022100 is a wasteful number, since it uses less digits than its factorization.

10212021022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102120210235 (or 102120210228 counting only the distinct ones).

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

Adding to 10212021022100 its reverse (122012021201), we get a palindrome (10334033043301).

The spelling of 10212021022100 in words is "ten trillion, two hundred twelve billion, twenty-one million, twenty-two thousand, one hundred".