11111012100001 has 24 divisors (see below), whose sum is σ = 12245063054112. Its totient is φ = 10074351408000.

The previous prime is 11111012099983. The next prime is 11111012100047. The reversal of 11111012100001 is 10000121011111.

It is not a de Polignac number, because 11111012100001 - 2²³ = 11111003711393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11111012100401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 562202946 + ... + 562222708.

It is an arithmetic number, because the mean of its divisors is an integer number (510210960588).

Almost surely, 2^{11111012100001} is an apocalyptic number.

11111012100001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11111012100001 is a deficient number, since it is larger than the sum of its proper divisors (1134050954111).

11111012100001 is a wasteful number, since it uses less digits than its factorization.

11111012100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31773 (or 31762 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 11111012100001 its reverse (10000121011111), we get a palindrome (21111133111112).

The spelling of 11111012100001 in words is "eleven trillion, one hundred eleven billion, twelve million, one hundred thousand, one".