11021101002112 has 64 divisors (see below), whose sum is σ = 22160893075200. Its totient is φ = 5459166720000.

The previous prime is 11021101002049. The next prime is 11021101002113. The reversal of 11021101002112 is 21120010112011.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 11021101002092 and 11021101002101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11021101002113) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 97621537 + ... + 97734367.

It is an arithmetic number, because the mean of its divisors is an integer number (346263954300).

Almost surely, 2^{11021101002112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11021101002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11080446537600).

11021101002112 is an abundant number, since it is smaller than the sum of its proper divisors (11139792073088).

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

11021101002112 is a wasteful number, since it uses less digits than its factorization.

11021101002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119955 (or 119943 counting only the distinct ones).

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

Adding to 11021101002112 its reverse (21120010112011), we get a palindrome (32141111114123).

The spelling of 11021101002112 in words is "eleven trillion, twenty-one billion, one hundred one million, two thousand, one hundred twelve".