11101001120000 has 180 divisors, whose sum is σ = 30206661411696. Its totient is φ = 4036727040000.

The previous prime is 11101001119997. The next prime is 11101001120003. The reversal of 11101001120000 is 2110010111.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11101001119997) and next prime (11101001120003).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 11101001120000.

It is not an unprimeable number, because it can be changed into a prime (11101001120003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1393694 + ... + 4913693.

Almost surely, 2^{11101001120000} is an apocalyptic number.

11101001120000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11101001120000 is an abundant number, since it is smaller than the sum of its proper divisors (19105660291696).

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

11101001120000 is an frugal number, since it uses more digits than its factorization.

11101001120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6307434 (or 6307405 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 11101001120000 its reverse (2110010111), we get a palindrome (11103111130111).

The spelling of 11101001120000 in words is "eleven trillion, one hundred one billion, one million, one hundred twenty thousand".