10211122011121 has 8 divisors (see below), whose sum is σ = 10449991096160. Its totient is φ = 9972316613952.

The previous prime is 10211122011107. The next prime is 10211122011151. The reversal of 10211122011121 is 12111022111201.

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 10211122011121 - 2⁵ = 10211122011089 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10211122011095 and 10211122011104.

It is not an unprimeable number, because it can be changed into a prime (10211122011151) 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, 15597480 + ... + 16238953.

It is an arithmetic number, because the mean of its divisors is an integer number (1306248887020).

Almost surely, 2^{10211122011121} is an apocalyptic number.

It is an amenable number.

10211122011121 is a deficient number, since it is larger than the sum of its proper divisors (238869085039).

10211122011121 is an equidigital number, since it uses as much as digits as its factorization.

10211122011121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31843935.

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

Adding to 10211122011121 its reverse (12111022111201), we get a palindrome (22322144122322).

The spelling of 10211122011121 in words is "ten trillion, two hundred eleven billion, one hundred twenty-two million, eleven thousand, one hundred twenty-one".