122101111022001 has 32 divisors (see below), whose sum is σ = 164656733915520. Its totient is φ = 80474936500224.

The previous prime is 122101111021951. The next prime is 122101111022003. The reversal of 122101111022001 is 100220111101221.

It is a happy number.

It is not a de Polignac number, because 122101111022001 - 2⁷ = 122101111021873 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122101111022003) 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, 4062033310 + ... + 4062063368.

It is an arithmetic number, because the mean of its divisors is an integer number (5145522934860).

Almost surely, 2^{122101111022001} is an apocalyptic number.

It is an amenable number.

122101111022001 is a deficient number, since it is larger than the sum of its proper divisors (42555622893519).

122101111022001 is a wasteful number, since it uses less digits than its factorization.

122101111022001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44705.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 122101111022001 its reverse (100220111101221), we get a palindrome (222321222123222).

The spelling of 122101111022001 in words is "one hundred twenty-two trillion, one hundred one billion, one hundred eleven million, twenty-two thousand, one".