122121002101 has 32 divisors (see below), whose sum is σ = 151043904000. Its totient is φ = 98482285440.

The previous prime is 122121002083. The next prime is 122121002149. The reversal of 122121002101 is 101200121221.

It is not a de Polignac number, because 122121002101 - 2¹⁷ = 122120871029 is a prime.

It is a super-4 number, since 4×122121002101⁴ (a number of 45 digits) contains 4444 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122121002191) 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 31 ways as a sum of consecutive naturals, for example, 354345 + ... + 608113.

It is an arithmetic number, because the mean of its divisors is an integer number (4720122000).

Almost surely, 2^122121002101 is an apocalyptic number.

It is an amenable number.

122121002101 is a deficient number, since it is larger than the sum of its proper divisors (28922901899).

122121002101 is an equidigital number, since it uses as much as digits as its factorization.

122121002101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253874 (or 253860 counting only the distinct ones).

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

Adding to 122121002101 its reverse (101200121221), we get a palindrome (223321123322).

The spelling of 122121002101 in words is "one hundred twenty-two billion, one hundred twenty-one million, two thousand, one hundred one".