21121120011121 has 16 divisors (see below), whose sum is σ = 22789637640000. Its totient is φ = 19458868822848.

The previous prime is 21121120011071. The next prime is 21121120011149. The reversal of 21121120011121 is 12111002112112.

It is not a de Polignac number, because 21121120011121 - 2¹⁹ = 21121119486833 is a prime.

It is a super-2 number, since 2×21121120011121² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 21121120011095 and 21121120011104.

It is not an unprimeable number, because it can be changed into a prime (21121120011181) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75158130 + ... + 75438628.

It is an arithmetic number, because the mean of its divisors is an integer number (1424352352500).

Almost surely, 2^{21121120011121} is an apocalyptic number.

It is an amenable number.

21121120011121 is a deficient number, since it is larger than the sum of its proper divisors (1668517628879).

21121120011121 is a wasteful number, since it uses less digits than its factorization.

21121120011121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291648.

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

Adding to 21121120011121 its reverse (12111002112112), we get a palindrome (33232122123233).

The spelling of 21121120011121 in words is "twenty-one trillion, one hundred twenty-one billion, one hundred twenty million, eleven thousand, one hundred twenty-one".