21011003312121 has 24 divisors (see below), whose sum is σ = 31919333112576. Its totient is φ = 13299722111520.

The previous prime is 21011003312099. The next prime is 21011003312137. The reversal of 21011003312121 is 12121330011012.

21011003312121 is a `hidden beast` number, since 2 + 10 + 110 + 0 + 331 + 212 + 1 = 666.

It is not a de Polignac number, because 21011003312121 - 2²¹ = 21011001214969 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 21011003312094 and 21011003312103.

It is not an unprimeable number, because it can be changed into a prime (21011003312521) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 710440455 + ... + 710470028.

It is an arithmetic number, because the mean of its divisors is an integer number (1329972213024).

Almost surely, 2^{21011003312121} is an apocalyptic number.

It is an amenable number.

21011003312121 is a deficient number, since it is larger than the sum of its proper divisors (10908329800455).

21011003312121 is a wasteful number, since it uses less digits than its factorization.

21011003312121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1420910573 (or 1420910570 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 21011003312121 its reverse (12121330011012), we get a palindrome (33132333323133).

The spelling of 21011003312121 in words is "twenty-one trillion, eleven billion, three million, three hundred twelve thousand, one hundred twenty-one".