102123100002001 has 8 divisors (see below), whose sum is σ = 109979501479400. Its totient is φ = 94266809724672.

The previous prime is 102123100001917. The next prime is 102123100002017. The reversal of 102123100002001 is 100200001321201.

It can be written as a sum of positive squares in 4 ways, for example, as 53504484984976 + 48618615017025 = 7314676^2 + 6972705^2 .

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

It is a de Polignac number, because none of the positive numbers 2^k-102123100002001 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102123100002701) 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, 25887750 + ... + 29570623.

It is an arithmetic number, because the mean of its divisors is an integer number (13747437684925).

Almost surely, 2^{102123100002001} is an apocalyptic number.

It is an amenable number.

102123100002001 is a deficient number, since it is larger than the sum of its proper divisors (7856401477399).

102123100002001 is a wasteful number, since it uses less digits than its factorization.

102123100002001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55600035.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 102123100002001 its reverse (100200001321201), we get a palindrome (202323101323202).

The spelling of 102123100002001 in words is "one hundred two trillion, one hundred twenty-three billion, one hundred million, two thousand, one".