102102100002121 has 4 divisors (see below), whose sum is σ = 102102155407044. Its totient is φ = 102102044597200.

The previous prime is 102102100002061. The next prime is 102102100002181. The reversal of 102102100002121 is 121200001201201.

It is a semiprime because it is the product of two primes.

It is an interprime number because it is at equal distance from previous prime (102102100002061) and next prime (102102100002181).

It can be written as a sum of positive squares in 2 ways, for example, as 85578484746496 + 16523615255625 = 9250864^2 + 4064925^2 .

It is a cyclic number.

It is not a de Polignac number, because 102102100002121 - 2²⁷ = 102101965784393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102102100002181) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 24839590 + ... + 28656751.

It is an arithmetic number, because the mean of its divisors is an integer number (25525538851761).

Almost surely, 2^{102102100002121} is an apocalyptic number.

It is an amenable number.

102102100002121 is a deficient number, since it is larger than the sum of its proper divisors (55404923).

102102100002121 is an equidigital number, since it uses as much as digits as its factorization.

102102100002121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55404922.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 102102100002121 its reverse (121200001201201), we get a palindrome (223302101203322).

The spelling of 102102100002121 in words is "one hundred two trillion, one hundred two billion, one hundred million, two thousand, one hundred twenty-one".