11000102112 has 72 divisors (see below), whose sum is σ = 31568617080. Its totient is φ = 3633050880.

The previous prime is 11000102111. The next prime is 11000102119. The reversal of 11000102112 is 21120100011.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 11000102094 and 11000102103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11000102111) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 143814 + ... + 206597.

It is an arithmetic number, because the mean of its divisors is an integer number (438453015).

Almost surely, 2^11000102112 is an apocalyptic number.

11000102112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11000102112 is an abundant number, since it is smaller than the sum of its proper divisors (20568514968).

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

11000102112 is a wasteful number, since it uses less digits than its factorization.

11000102112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350536 (or 350525 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 11000102112 its reverse (21120100011), we get a palindrome (32120202123).

The spelling of 11000102112 in words is "eleven billion, one hundred two thousand, one hundred twelve".