10021221022100 has 18 divisors (see below), whose sum is σ = 21746049618174. Its totient is φ = 4008488408800.

The previous prime is 10021221022079. The next prime is 10021221022103. The reversal of 10021221022100 is 122012212001.

It can be written as a sum of positive squares in 3 ways, for example, as 1768804241296 + 8252416780804 = 1329964^2 + 2872702^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10021221022103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 50106105011 + ... + 50106105210.

Almost surely, 2^{10021221022100} is an apocalyptic number.

10021221022100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10021221022100 is an abundant number, since it is smaller than the sum of its proper divisors (11724828596074).

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

10021221022100 is a wasteful number, since it uses less digits than its factorization.

10021221022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100212210235 (or 100212210228 counting only the distinct ones).

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

Adding to 10021221022100 its reverse (122012212001), we get a palindrome (10143233234101).

The spelling of 10021221022100 in words is "ten trillion, twenty-one billion, two hundred twenty-one million, twenty-two thousand, one hundred".