102112111321033 has 32 divisors (see below), whose sum is σ = 115231627728000. Its totient is φ = 89677987123200.

The previous prime is 102112111321027. The next prime is 102112111321037. The reversal of 102112111321033 is 330123111211201.

It is a cyclic number.

It is not a de Polignac number, because 102112111321033 - 2²⁹ = 102111574450121 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102112111320995 and 102112111321013.

It is not an unprimeable number, because it can be changed into a prime (102112111321037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52505158 + ... + 54415216.

It is an arithmetic number, because the mean of its divisors is an integer number (3600988366500).

Almost surely, 2^{102112111321033} is an apocalyptic number.

It is an amenable number.

102112111321033 is a deficient number, since it is larger than the sum of its proper divisors (13119516406967).

102112111321033 is a wasteful number, since it uses less digits than its factorization.

102112111321033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1911273.

The product of its (nonzero) digits is 216, while the sum is 22.

Adding to 102112111321033 its reverse (330123111211201), we get a palindrome (432235222532234).

The spelling of 102112111321033 in words is "one hundred two trillion, one hundred twelve billion, one hundred eleven million, three hundred twenty-one thousand, thirty-three".