122110001222001 has 192 divisors, whose sum is σ = 200817013985280. Its totient is φ = 65530708439040.

The previous prime is 122110001221993. The next prime is 122110001222009. The reversal of 122110001222001 is 100222100011221.

It is an interprime number because it is at equal distance from previous prime (122110001221993) and next prime (122110001222009).

It is not a de Polignac number, because 122110001222001 - 2³ = 122110001221993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122110001222009) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13030621846 + ... + 13030631216.

It is an arithmetic number, because the mean of its divisors is an integer number (1045921947840).

Almost surely, 2^{122110001222001} is an apocalyptic number.

It is an amenable number.

122110001222001 is a deficient number, since it is larger than the sum of its proper divisors (78707012763279).

122110001222001 is a wasteful number, since it uses less digits than its factorization.

122110001222001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11176 (or 11163 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 122110001222001 its reverse (100222100011221), we get a palindrome (222332101233222).

The spelling of 122110001222001 in words is "one hundred twenty-two trillion, one hundred ten billion, one million, two hundred twenty-two thousand, one".