102112100002101 has 8 divisors (see below), whose sum is σ = 155599390479424. Its totient is φ = 58349771429760.

The previous prime is 102112100002019. The next prime is 102112100002111. The reversal of 102112100002101 is 101200001211201.

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

It is not a de Polignac number, because 102112100002101 - 2¹⁰ = 102112100001077 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 (102112100002111) 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, 2431240476220 + ... + 2431240476261.

It is an arithmetic number, because the mean of its divisors is an integer number (19449923809928).

Almost surely, 2^{102112100002101} is an apocalyptic number.

It is an amenable number.

102112100002101 is a deficient number, since it is larger than the sum of its proper divisors (53487290477323).

102112100002101 is an equidigital number, since it uses as much as digits as its factorization.

102112100002101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4862480952491.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 102112100002101 its reverse (101200001211201), we get a palindrome (203312101213302).

The spelling of 102112100002101 in words is "one hundred two trillion, one hundred twelve billion, one hundred million, two thousand, one hundred one".