11012012100012 has 192 divisors, whose sum is σ = 32897373143040. Its totient is φ = 2784280262400.

The previous prime is 11012012099981. The next prime is 11012012100043. The reversal of 11012012100012 is 21000121021011.

It is an interprime number because it is at equal distance from previous prime (11012012099981) and next prime (11012012100043).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4120338 + ... + 6245094.

It is an arithmetic number, because the mean of its divisors is an integer number (171340485120).

Almost surely, 2^{11012012100012} is an apocalyptic number.

11012012100012 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 11012012100012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16448686571520).

11012012100012 is an abundant number, since it is smaller than the sum of its proper divisors (21885361043028).

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

11012012100012 is a wasteful number, since it uses less digits than its factorization.

11012012100012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2124932 (or 2124930 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11012012100012 its reverse (21000121021011), we get a palindrome (32012133121023).

The spelling of 11012012100012 in words is "eleven trillion, twelve billion, twelve million, one hundred thousand, twelve".