11000001102012 has 288 divisors, whose sum is σ = 31868123414400. Its totient is φ = 3175096264704.

The previous prime is 11000001102007. The next prime is 11000001102043. The reversal of 11000001102012 is 21020110000011.

It is a happy number.

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 = 11000001101985 and 11000001102003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 74015314 + ... + 74163782.

It is an arithmetic number, because the mean of its divisors is an integer number (110653206300).

Almost surely, 2^{11000001102012} is an apocalyptic number.

11000001102012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11000001102012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15934061707200).

11000001102012 is an abundant number, since it is smaller than the sum of its proper divisors (20868122312388).

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

11000001102012 is a wasteful number, since it uses less digits than its factorization.

11000001102012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148677 (or 148672 counting only the distinct ones).

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

Adding to 11000001102012 its reverse (21020110000011), we get a palindrome (32020111102023).

The spelling of 11000001102012 in words is "eleven trillion, one million, one hundred two thousand, twelve".