122011020121001 has 8 divisors (see below), whose sum is σ = 133486512979104. Its totient is φ = 110599457585920.

The previous prime is 122011020120959. The next prime is 122011020121043. The reversal of 122011020121001 is 100121020110221.

It is an interprime number because it is at equal distance from previous prime (122011020120959) and next prime (122011020121043).

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 122011020121001 - 2¹⁰ = 122011020119977 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (122011020121091) 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, 15982576760 + ... + 15982584393.

It is an arithmetic number, because the mean of its divisors is an integer number (16685814122388).

Almost surely, 2^{122011020121001} is an apocalyptic number.

122011020121001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122011020121001 is a deficient number, since it is larger than the sum of its proper divisors (11475492858103).

122011020121001 is a wasteful number, since it uses less digits than its factorization.

122011020121001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31965161511.

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

Adding to 122011020121001 its reverse (100121020110221), we get a palindrome (222132040231222).

The spelling of 122011020121001 in words is "one hundred twenty-two trillion, eleven billion, twenty million, one hundred twenty-one thousand, one".