11211102019980 has 384 divisors, whose sum is σ = 36838213171200. Its totient is φ = 2824964702208.

The previous prime is 11211102019973. The next prime is 11211102019981. The reversal of 11211102019980 is 8991020111211.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (11211102019981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 678260356 + ... + 678276884.

It is an arithmetic number, because the mean of its divisors is an integer number (95932846800).

Almost surely, 2^{11211102019980} is an apocalyptic number.

11211102019980 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 11211102019980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18419106585600).

11211102019980 is an abundant number, since it is smaller than the sum of its proper divisors (25627111151220).

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

11211102019980 is a wasteful number, since it uses less digits than its factorization.

11211102019980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17230 (or 17222 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 36.

The spelling of 11211102019980 in words is "eleven trillion, two hundred eleven billion, one hundred two million, nineteen thousand, nine hundred eighty".