102112002111101 has 8 divisors (see below), whose sum is σ = 105593159595264. Its totient is φ = 98642545997760.

The previous prime is 102112002111011. The next prime is 102112002111149. The reversal of 102112002111101 is 101111200211201.

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 102112002111101 - 2¹⁰ = 102112002110077 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 (102112002111181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2925324956 + ... + 2925359861.

It is an arithmetic number, because the mean of its divisors is an integer number (13199144949408).

Almost surely, 2^{102112002111101} is an apocalyptic number.

It is an amenable number.

102112002111101 is a deficient number, since it is larger than the sum of its proper divisors (3481157484163).

102112002111101 is an equidigital number, since it uses as much as digits as its factorization.

102112002111101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5850685411.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 102112002111101 its reverse (101111200211201), we get a palindrome (203223202322302).

The spelling of 102112002111101 in words is "one hundred two trillion, one hundred twelve billion, two million, one hundred eleven thousand, one hundred one".