11111001002101 has 32 divisors (see below), whose sum is σ = 14937871608576. Its totient is φ = 7981426368000.

The previous prime is 11111001002089. The next prime is 11111001002117. The reversal of 11111001002101 is 10120010011111.

It is a cyclic number.

It is not a de Polignac number, because 11111001002101 - 2³⁵ = 11076641263733 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11111001002141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6531210 + ... + 8054731.

It is an arithmetic number, because the mean of its divisors is an integer number (466808487768).

Almost surely, 2^{11111001002101} is an apocalyptic number.

11111001002101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11111001002101 is a deficient number, since it is larger than the sum of its proper divisors (3826870606475).

11111001002101 is a wasteful number, since it uses less digits than its factorization.

11111001002101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14586733.

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

Adding to 11111001002101 its reverse (10120010011111), we get a palindrome (21231011013212).

The spelling of 11111001002101 in words is "eleven trillion, one hundred eleven billion, one million, two thousand, one hundred one".