11121201011020 has 96 divisors (see below), whose sum is σ = 24836279771520. Its totient is φ = 4173685401600.

The previous prime is 11121201011009. The next prime is 11121201011087. The reversal of 11121201011020 is 2011010212111.

It is a happy number.

11121201011020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11121201011020² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95730970 + ... + 95847070.

It is an arithmetic number, because the mean of its divisors is an integer number (258711247620).

Almost surely, 2^{11121201011020} is an apocalyptic number.

11121201011020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11121201011020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12418139885760).

11121201011020 is an abundant number, since it is smaller than the sum of its proper divisors (13715078760500).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11121201011020 is a wasteful number, since it uses less digits than its factorization.

11121201011020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120115 (or 120113 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 11121201011020 its reverse (2011010212111), we get a palindrome (13132211223131).

The spelling of 11121201011020 in words is "eleven trillion, one hundred twenty-one billion, two hundred one million, eleven thousand, twenty".