122000001002101 has 6 divisors (see below), whose sum is σ = 123219881426306. Its totient is φ = 120792080190000.

The previous prime is 122000001002039. The next prime is 122000001002183. The reversal of 122000001002101 is 101200100000221.

It can be written as a sum of positive squares in 3 ways, for example, as 71671632128100 + 50328368874001 = 8465910^2 + 7094249^2 .

It is not a de Polignac number, because 122000001002101 - 2³⁹ = 121450245188213 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122000001002701) 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 5 ways as a sum of consecutive naturals, for example, 5979795750 + ... + 5979816151.

Almost surely, 2^{122000001002101} is an apocalyptic number.

It is an amenable number.

122000001002101 is a deficient number, since it is larger than the sum of its proper divisors (1219880424205).

122000001002101 is an equidigital number, since it uses as much as digits as its factorization.

122000001002101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11959612103 (or 11959612002 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 122000001002101 its reverse (101200100000221), we get a palindrome (223200101002322).

The spelling of 122000001002101 in words is "one hundred twenty-two trillion, one million, two thousand, one hundred one".