11101002012112 has 20 divisors (see below), whose sum is σ = 21569819464900. Its totient is φ = 5534596988928.

The previous prime is 11101002012097. The next prime is 11101002012127. The reversal of 11101002012112 is 21121020010111.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11101002012097) and next prime (11101002012127).

It can be written as a sum of positive squares in 2 ways, for example, as 9945041587776 + 1155960424336 = 3153576^2 + 1075156^2 .

It is a junction number, because it is equal to n+sod(n) for n = 11101002012092 and 11101002012101.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 993995313 + ... + 994006480.

It is an arithmetic number, because the mean of its divisors is an integer number (1078490973245).

Almost surely, 2^{11101002012112} is an apocalyptic number.

It is an amenable number.

11101002012112 is a deficient number, since it is larger than the sum of its proper divisors (10468817452788).

11101002012112 is a wasteful number, since it uses less digits than its factorization.

11101002012112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1988002150 (or 1988002144 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 11101002012112 its reverse (21121020010111), we get a palindrome (32222022022223).

The spelling of 11101002012112 in words is "eleven trillion, one hundred one billion, two million, twelve thousand, one hundred twelve".