21201122202120 has 192 divisors, whose sum is σ = 80875323659520. Its totient is φ = 4714998584832.

The previous prime is 21201122202119. The next prime is 21201122202137. The reversal of 21201122202120 is 2120222110212.

It is a happy number.

21201122202120 is a `hidden beast` number, since 2 + 120 + 112 + 220 + 212 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 21201122202093 and 21201122202102.

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 47 ways as a sum of consecutive naturals, for example, 113597892 + ... + 113784371.

It is an arithmetic number, because the mean of its divisors is an integer number (421225644060).

Almost surely, 2^{21201122202120} is an apocalyptic number.

21201122202120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21201122202120 is an abundant number, since it is smaller than the sum of its proper divisors (59674201457400).

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

21201122202120 is a wasteful number, since it uses less digits than its factorization.

21201122202120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227382324 (or 227382317 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 21201122202120 its reverse (2120222110212), we get a palindrome (23321344312332).

The spelling of 21201122202120 in words is "twenty-one trillion, two hundred one billion, one hundred twenty-two million, two hundred two thousand, one hundred twenty".