111001100120101 has 8 divisors (see below), whose sum is σ = 117530991456984. Its totient is φ = 104471254878720.

The previous prime is 111001100120087. The next prime is 111001100120143. The reversal of 111001100120101 is 101021001100111.

It can be written as a sum of positive squares in 4 ways, for example, as 7525941789025 + 103475158331076 = 2743345^2 + 10172274^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 111001100120101 - 2¹⁵ = 111001100087333 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111001100123101) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6503590 + ... + 16257271.

It is an arithmetic number, because the mean of its divisors is an integer number (14691373932123).

Almost surely, 2^{111001100120101} is an apocalyptic number.

It is an amenable number.

111001100120101 is a deficient number, since it is larger than the sum of its proper divisors (6529891336883).

111001100120101 is a wasteful number, since it uses less digits than its factorization.

111001100120101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23047751.

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

Adding to 111001100120101 its reverse (101021001100111), we get a palindrome (212022101220212).

The spelling of 111001100120101 in words is "one hundred eleven trillion, one billion, one hundred million, one hundred twenty thousand, one hundred one".