11111021102000 has 160 divisors (see below), whose sum is σ = 28150909547904. Its totient is φ = 4233529344000.

The previous prime is 11111021101969. The next prime is 11111021102029. The reversal of 11111021102000 is 20112011111.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 10584872 + ... + 11587128.

Almost surely, 2^{11111021102000} is an apocalyptic number.

11111021102000 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 11111021102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14075454773952).

11111021102000 is an abundant number, since it is smaller than the sum of its proper divisors (17039888445904).

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

11111021102000 is a wasteful number, since it uses less digits than its factorization.

11111021102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1002544 (or 1002528 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 11111021102000 its reverse (20112011111), we get a palindrome (11131133113111).

The spelling of 11111021102000 in words is "eleven trillion, one hundred eleven billion, twenty-one million, one hundred two thousand".