102112000002001 has 8 divisors (see below), whose sum is σ = 117257799045600. Its totient is φ = 87943349283840.

The previous prime is 102112000001993. The next prime is 102112000002013. The reversal of 102112000002001 is 100200000211201.

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 102112000002001 - 2³ = 102112000001993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102112000002031) 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 7 ways as a sum of consecutive naturals, for example, 244287081136 + ... + 244287081553.

It is an arithmetic number, because the mean of its divisors is an integer number (14657224880700).

Almost surely, 2^{102112000002001} is an apocalyptic number.

102112000002001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102112000002001 is a deficient number, since it is larger than the sum of its proper divisors (15145799043599).

102112000002001 is a wasteful number, since it uses less digits than its factorization.

102112000002001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488574162719.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 102112000002001 its reverse (100200000211201), we get a palindrome (202312000213202).

The spelling of 102112000002001 in words is "one hundred two trillion, one hundred twelve billion, two thousand, one".