11121210101121 has 32 divisors (see below), whose sum is σ = 14982432685440. Its totient is φ = 7337234534400.

The previous prime is 11121210101117. The next prime is 11121210101159. The reversal of 11121210101121 is 12110101212111.

It is not a de Polignac number, because 11121210101121 - 2² = 11121210101117 is a prime.

It is a super-2 number, since 2×11121210101121² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11121210101121.

It is not an unprimeable number, because it can be changed into a prime (11121210101161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1065959521 + ... + 1065969953.

It is an arithmetic number, because the mean of its divisors is an integer number (468201021420).

Almost surely, 2^{11121210101121} is an apocalyptic number.

It is an amenable number.

11121210101121 is a deficient number, since it is larger than the sum of its proper divisors (3861222584319).

11121210101121 is a wasteful number, since it uses less digits than its factorization.

11121210101121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14177.

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 11121210101121 its reverse (12110101212111), we get a palindrome (23231311313232).

The spelling of 11121210101121 in words is "eleven trillion, one hundred twenty-one billion, two hundred ten million, one hundred one thousand, one hundred twenty-one".