11101002021120 has 144 divisors (see below), whose sum is σ = 38676900370752. Its totient is φ = 2691151994880.

The previous prime is 11101002021097. The next prime is 11101002021157. The reversal of 11101002021120 is 2112020010111.

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 = 11101002021096 and 11101002021105.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131361667 + ... + 131446146.

It is an arithmetic number, because the mean of its divisors is an integer number (268589585908).

Almost surely, 2^{11101002021120} is an apocalyptic number.

11101002021120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11101002021120 is an abundant number, since it is smaller than the sum of its proper divisors (27575898349632).

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

11101002021120 is a wasteful number, since it uses less digits than its factorization.

11101002021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262807848 (or 262807834 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11101002021120 its reverse (2112020010111), we get a palindrome (13213022031231).

The spelling of 11101002021120 in words is "eleven trillion, one hundred one billion, two million, twenty-one thousand, one hundred twenty".