21211011001121 has 6 divisors (see below), whose sum is σ = 22386136264722. Its totient is φ = 20094642000720.

The previous prime is 21211011001111. The next prime is 21211011001153. The reversal of 21211011001121 is 12110011011212.

It can be written as a sum of positive squares in only one way, i.e., 16895881411600 + 4315129589521 = 4110460^2 + 2077289^2 .

It is not a de Polignac number, because 21211011001121 - 2¹⁰ = 21211011000097 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 21211011001096 and 21211011001105.

It is not an unprimeable number, because it can be changed into a prime (21211011001111) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 29378131220 + ... + 29378131941.

It is an arithmetic number, because the mean of its divisors is an integer number (3731022710787).

Almost surely, 2^{21211011001121} is an apocalyptic number.

It is an amenable number.

21211011001121 is a deficient number, since it is larger than the sum of its proper divisors (1175125263601).

21211011001121 is an equidigital number, since it uses as much as digits as its factorization.

21211011001121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58756263199 (or 58756263180 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 21211011001121 its reverse (12110011011212), we get a palindrome (33321022012333).

The spelling of 21211011001121 in words is "twenty-one trillion, two hundred eleven billion, eleven million, one thousand, one hundred twenty-one".