11011101121020 has 192 divisors, whose sum is σ = 41395580384256. Its totient is φ = 2112019384320.

The previous prime is 11011101120989. The next prime is 11011101121021. The reversal of 11011101121020 is 2012110111011.

11011101121020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 11011101120987 and 11011101121005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11011101121021) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 91607449 + ... + 91727568.

It is an arithmetic number, because the mean of its divisors is an integer number (215601981168).

Almost surely, 2^{11011101121020} is an apocalyptic number.

11011101121020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11011101121020 is an abundant number, since it is smaller than the sum of its proper divisors (30384479263236).

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

11011101121020 is a wasteful number, since it uses less digits than its factorization.

11011101121020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183335060 (or 183335058 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 11011101121020 its reverse (2012110111011), we get a palindrome (13023211232031).

It can be divided in two parts, 11011101 and 121020, that added together give a triangular number (11132121 = T₄₇₁₈).

The spelling of 11011101121020 in words is "eleven trillion, eleven billion, one hundred one million, one hundred twenty-one thousand, twenty".