11101011100002 has 48 divisors (see below), whose sum is σ = 24154005982392. Its totient is φ = 3684675709440.

The previous prime is 11101011099989. The next prime is 11101011100007. The reversal of 11101011100002 is 20000111010111.

It can be written as a sum of positive squares in 4 ways, for example, as 11029100778081 + 71910321921 = 3321009^2 + 268161^2 .

It is a super-2 number, since 2×11101011100002² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (11101011100007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55239568 + ... + 55440164.

Almost surely, 2^{11101011100002} is an apocalyptic number.

11101011100002 is an abundant number, since it is smaller than the sum of its proper divisors (13052994882390).

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

11101011100002 is a wasteful number, since it uses less digits than its factorization.

11101011100002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213603 (or 213600 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 11101011100002 its reverse (20000111010111), we get a palindrome (31101122110113).

The spelling of 11101011100002 in words is "eleven trillion, one hundred one billion, eleven million, one hundred thousand, two".