21121200120001 has 16 divisors (see below), whose sum is σ = 22548496988160. Its totient is φ = 19725531633360.

The previous prime is 21121200119953. The next prime is 21121200120017. The reversal of 21121200120001 is 10002100212112.

It is a de Polignac number, because none of the positive numbers 2^k-21121200120001 is a prime.

It is a super-2 number, since 2×21121200120001² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21121200120071) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 11281290 + ... + 13019596.

It is an arithmetic number, because the mean of its divisors is an integer number (1409281061760).

Almost surely, 2^{21121200120001} is an apocalyptic number.

It is an amenable number.

21121200120001 is a deficient number, since it is larger than the sum of its proper divisors (1427296868159).

21121200120001 is a wasteful number, since it uses less digits than its factorization.

21121200120001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1747404.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 21121200120001 its reverse (10002100212112), we get a palindrome (31123300332113).

The spelling of 21121200120001 in words is "twenty-one trillion, one hundred twenty-one billion, two hundred million, one hundred twenty thousand, one".