111002012102101 has 8 divisors (see below), whose sum is σ = 117697313102040. Its totient is φ = 104325130088448.

The previous prime is 111002012102063. The next prime is 111002012102167. The reversal of 111002012102101 is 101201210200111.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 15325267562500 + 95676744539601 = 3914750^2 + 9781449^2 .

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

It is not a de Polignac number, because 111002012102101 - 2²⁹ = 111001475231189 is a prime.

It is a super-2 number, since 2×111002012102101² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111002012142101) 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 7 ways as a sum of consecutive naturals, for example, 4604734156 + ... + 4604758261.

It is an arithmetic number, because the mean of its divisors is an integer number (14712164137755).

Almost surely, 2^{111002012102101} is an apocalyptic number.

It is an amenable number.

111002012102101 is a deficient number, since it is larger than the sum of its proper divisors (6695300999939).

111002012102101 is an equidigital number, since it uses as much as digits as its factorization.

111002012102101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9209493143.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 111002012102101 its reverse (101201210200111), we get a palindrome (212203222302212).

The spelling of 111002012102101 in words is "one hundred eleven trillion, two billion, twelve million, one hundred two thousand, one hundred one".