11012101000000 has 196 divisors, whose sum is σ = 28502483288544. Its totient is φ = 4213316800000.

The previous prime is 11012100999997. The next prime is 11012101000031. The reversal of 11012101000000 is 10121011.

It is a congruent number.

It is an unprimeable number.

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 27 ways as a sum of consecutive naturals, for example, 22760607 + ... + 23239393.

Almost surely, 2^{11012101000000} is an apocalyptic number.

11012101000000 is a gapful number since it is divisible by the number (10) 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 11012101000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14251241644272).

11012101000000 is an abundant number, since it is smaller than the sum of its proper divisors (17490382288544).

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

11012101000000 is an frugal number, since it uses more digits than its factorization.

11012101000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478852 (or 478817 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 11012101000000 its reverse (10121011), we get a palindrome (11012111121011).

The spelling of 11012101000000 in words is "eleven trillion, twelve billion, one hundred one million", and thus it is an aban number.