11121020010101 has 16 divisors (see below), whose sum is σ = 12156425791488. Its totient is φ = 10128049747200.

The previous prime is 11121020010091. The next prime is 11121020010173. The reversal of 11121020010101 is 10101002012111.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-11121020010101 is a prime.

It is a super-2 number, since 2×11121020010101² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11121020015101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3452516 + ... + 5844818.

It is an arithmetic number, because the mean of its divisors is an integer number (759776611968).

Almost surely, 2^{11121020010101} is an apocalyptic number.

It is an amenable number.

11121020010101 is a deficient number, since it is larger than the sum of its proper divisors (1035405781387).

11121020010101 is a wasteful number, since it uses less digits than its factorization.

11121020010101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2401172.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 11121020010101 its reverse (10101002012111), we get a palindrome (21222022022212).

The spelling of 11121020010101 in words is "eleven trillion, one hundred twenty-one billion, twenty million, ten thousand, one hundred one".