11211001221121 has 8 divisors (see below), whose sum is σ = 12073416701864. Its totient is φ = 10348590136320.

The previous prime is 11211001221097. The next prime is 11211001221143. The reversal of 11211001221121 is 12112210011211.

It can be written as a sum of positive squares in 4 ways, for example, as 4083895348225 + 7127105872896 = 2020865^2 + 2669664^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 11211001221121 - 2¹⁷ = 11211001090049 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11211001221095 and 11211001221104.

It is not an unprimeable number, because it can be changed into a prime (11211001221181) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5803531 + ... + 7490191.

It is an arithmetic number, because the mean of its divisors is an integer number (1509177087733).

Almost surely, 2^{11211001221121} is an apocalyptic number.

It is an amenable number.

11211001221121 is a deficient number, since it is larger than the sum of its proper divisors (862415480743).

11211001221121 is a wasteful number, since it uses less digits than its factorization.

11211001221121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2197971.

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

Adding to 11211001221121 its reverse (12112210011211), we get a palindrome (23323211232332).

The spelling of 11211001221121 in words is "eleven trillion, two hundred eleven billion, one million, two hundred twenty-one thousand, one hundred twenty-one".