102121021212101 has 4 divisors (see below), whose sum is σ = 102133649020512. Its totient is φ = 102108393403692.

The previous prime is 102121021212017. The next prime is 102121021212137. The reversal of 102121021212101 is 101212120121201.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 102121021212101 - 2²² = 102121017017797 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 102121021212101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102121021212701) 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 3 ways as a sum of consecutive naturals, for example, 6313892075 + ... + 6313908248.

It is an arithmetic number, because the mean of its divisors is an integer number (25533412255128).

Almost surely, 2^{102121021212101} is an apocalyptic number.

It is an amenable number.

102121021212101 is a deficient number, since it is larger than the sum of its proper divisors (12627808411).

102121021212101 is an equidigital number, since it uses as much as digits as its factorization.

102121021212101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12627808410.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 102121021212101 its reverse (101212120121201), we get a palindrome (203333141333302).

The spelling of 102121021212101 in words is "one hundred two trillion, one hundred twenty-one billion, twenty-one million, two hundred twelve thousand, one hundred one".