11012012100101 has 32 divisors (see below), whose sum is σ = 12249574811136. Its totient is φ = 9846144000000.

The previous prime is 11012012100071. The next prime is 11012012100119. The reversal of 11012012100101 is 10100121021011.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-11012012100101 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11012012100601) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 393258101 + ... + 393286101.

It is an arithmetic number, because the mean of its divisors is an integer number (382799212848).

Almost surely, 2^{11012012100101} is an apocalyptic number.

It is an amenable number.

11012012100101 is a deficient number, since it is larger than the sum of its proper divisors (1237562711035).

11012012100101 is a wasteful number, since it uses less digits than its factorization.

11012012100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34853.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 11012012100101 its reverse (10100121021011), we get a palindrome (21112133121112).

The spelling of 11012012100101 in words is "eleven trillion, twelve billion, twelve million, one hundred thousand, one hundred one".