21201121120100 has 18 divisors (see below), whose sum is σ = 46006432830834. Its totient is φ = 8480448448000.

The previous prime is 21201121119973. The next prime is 21201121120189. The reversal of 21201121120100 is 102112110212.

It can be written as a sum of positive squares in 3 ways, for example, as 4963235420224 + 16237885699876 = 2227832^2 + 4029626^2 .

It is an unprimeable number.

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, 106005605501 + ... + 106005605700.

Almost surely, 2^{21201121120100} is an apocalyptic number.

21201121120100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21201121120100 is an abundant number, since it is smaller than the sum of its proper divisors (24805311710734).

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

21201121120100 is a wasteful number, since it uses less digits than its factorization.

21201121120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212011211215 (or 212011211208 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 21201121120100 its reverse (102112110212), we get a palindrome (21303233230312).

The spelling of 21201121120100 in words is "twenty-one trillion, two hundred one billion, one hundred twenty-one million, one hundred twenty thousand, one hundred".