102120120012101 has 8 divisors (see below), whose sum is σ = 103942987677600. Its totient is φ = 100306037251728.

The previous prime is 102120120012073. The next prime is 102120120012109. The reversal of 102120120012101 is 101210021021201.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102120120012101 is a prime.

It is a super-3 number, since 3×102120120012101³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102120120012109) 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, 2196202826 + ... + 2196249323.

It is an arithmetic number, because the mean of its divisors is an integer number (12992873459700).

Almost surely, 2^{102120120012101} is an apocalyptic number.

It is an amenable number.

102120120012101 is a deficient number, since it is larger than the sum of its proper divisors (1822867665499).

102120120012101 is an equidigital number, since it uses as much as digits as its factorization.

102120120012101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4392452563.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 102120120012101 its reverse (101210021021201), we get a palindrome (203330141033302).

The spelling of 102120120012101 in words is "one hundred two trillion, one hundred twenty billion, one hundred twenty million, twelve thousand, one hundred one".