11011012000101 has 32 divisors (see below), whose sum is σ = 16929028656000. Its totient is φ = 7064903873664.

The previous prime is 11011012000091. The next prime is 11011012000129. The reversal of 11011012000101 is 10100021011011.

It is not a de Polignac number, because 11011012000101 - 2¹³ = 11011011991909 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11011012000171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22219131 + ... + 22709288.

It is an arithmetic number, because the mean of its divisors is an integer number (529032145500).

Almost surely, 2^{11011012000101} is an apocalyptic number.

It is an amenable number.

11011012000101 is a deficient number, since it is larger than the sum of its proper divisors (5918016655899).

11011012000101 is a wasteful number, since it uses less digits than its factorization.

11011012000101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44928770 (or 44928764 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 11011012000101 its reverse (10100021011011), we get a palindrome (21111033011112).

The spelling of 11011012000101 in words is "eleven trillion, eleven billion, twelve million, one hundred one", and thus it is an aban number.