21201012121100 has 144 divisors (see below), whose sum is σ = 55407749677056. Its totient is φ = 6884037600000.

The previous prime is 21201012121099. The next prime is 21201012121151. The reversal of 21201012121100 is 112121010212.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 4892876 + ... + 8145075.

It is an arithmetic number, because the mean of its divisors is an integer number (384776039424).

Almost surely, 2^{21201012121100} is an apocalyptic number.

21201012121100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21201012121100 is an abundant number, since it is smaller than the sum of its proper divisors (34206737555956).

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

21201012121100 is a wasteful number, since it uses less digits than its factorization.

21201012121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13038096 (or 13038089 counting only the distinct ones).

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

Adding to 21201012121100 its reverse (112121010212), we get a palindrome (21313133131312).

The spelling of 21201012121100 in words is "twenty-one trillion, two hundred one billion, twelve million, one hundred twenty-one thousand, one hundred".