11011001101152 has 96 divisors (see below), whose sum is σ = 31199142064608. Its totient is φ = 3380175691776.

The previous prime is 11011001101151. The next prime is 11011001101171. The reversal of 11011001101152 is 25110110011011.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11011001101151) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9647743 + ... + 10728510.

It is an arithmetic number, because the mean of its divisors is an integer number (324991063173).

Almost surely, 2^{11011001101152} is an apocalyptic number.

11011001101152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11011001101152 is an abundant number, since it is smaller than the sum of its proper divisors (20188140963456).

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

11011001101152 is a wasteful number, since it uses less digits than its factorization.

11011001101152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20376712 (or 20376704 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 15.

Adding to 11011001101152 its reverse (25110110011011), we get a palindrome (36121111112163).

The spelling of 11011001101152 in words is "eleven trillion, eleven billion, one million, one hundred one thousand, one hundred fifty-two".