20110122101001 has 16 divisors (see below), whose sum is σ = 26899602304896. Its totient is φ = 13363696384896.

The previous prime is 20110122100997. The next prime is 20110122101023. The reversal of 20110122101001 is 10010122101102.

It is not a de Polignac number, because 20110122101001 - 2² = 20110122100997 is a prime.

It is not an unprimeable number, because it can be changed into a prime (20110122101071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73944796 + ... + 74216258.

It is an arithmetic number, because the mean of its divisors is an integer number (1681225144056).

Almost surely, 2^{20110122101001} is an apocalyptic number.

It is an amenable number.

20110122101001 is a deficient number, since it is larger than the sum of its proper divisors (6789480203895).

20110122101001 is a wasteful number, since it uses less digits than its factorization.

20110122101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350672.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 20110122101001 its reverse (10010122101102), we get a palindrome (30120244202103).

The spelling of 20110122101001 in words is "twenty trillion, one hundred ten billion, one hundred twenty-two million, one hundred one thousand, one".