11121111020101 has 8 divisors (see below), whose sum is σ = 11183276002808. Its totient is φ = 11058953976000.

The previous prime is 11121111020057. The next prime is 11121111020119. The reversal of 11121111020101 is 10102011112111.

It can be written as a sum of positive squares in 4 ways, for example, as 289738899076 + 10831372121025 = 538274^2 + 3291105^2 .

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 11121111020101 - 2⁷ = 11121111019973 is a prime.

It is a super-2 number, since 2×11121111020101² (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 (11121111023101) 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 7 ways as a sum of consecutive naturals, for example, 836131 + ... + 4789711.

It is an arithmetic number, because the mean of its divisors is an integer number (1397909500351).

Almost surely, 2^{11121111020101} is an apocalyptic number.

It is an amenable number.

11121111020101 is a deficient number, since it is larger than the sum of its proper divisors (62164982707).

11121111020101 is a wasteful number, since it uses less digits than its factorization.

11121111020101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3969303.

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 11121111020101 its reverse (10102011112111), we get a palindrome (21223122132212).

The spelling of 11121111020101 in words is "eleven trillion, one hundred twenty-one billion, one hundred eleven million, twenty thousand, one hundred one".