122101120102013 has 8 divisors (see below), whose sum is σ = 131510194710048. Its totient is φ = 112694428458864.

The previous prime is 122101120102007. The next prime is 122101120102019. The reversal of 122101120102013 is 310201021101221.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (122101120102007) and next prime (122101120102019).

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

It is a cyclic number.

It is not a de Polignac number, because 122101120102013 - 2¹² = 122101120097917 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122101120101982 and 122101120102000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122101120102019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 595634795 + ... + 595839752.

It is an arithmetic number, because the mean of its divisors is an integer number (16438774338756).

Almost surely, 2^{122101120102013} is an apocalyptic number.

122101120102013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

122101120102013 is a deficient number, since it is larger than the sum of its proper divisors (9409074608035).

122101120102013 is a wasteful number, since it uses less digits than its factorization.

122101120102013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1191482443.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 122101120102013 its reverse (310201021101221), we get a palindrome (432302141203234).

The spelling of 122101120102013 in words is "one hundred twenty-two trillion, one hundred one billion, one hundred twenty million, one hundred two thousand, thirteen".