20122010100101 has 24 divisors (see below), whose sum is σ = 25208204071680. Its totient is φ = 15920451584352.

The previous prime is 20122010100067. The next prime is 20122010100113. The reversal of 20122010100101 is 10100101022102.

It is not a de Polignac number, because 20122010100101 - 2²² = 20122005905797 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20122010100001) 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 23 ways as a sum of consecutive naturals, for example, 45080720 + ... + 45524886.

It is an arithmetic number, because the mean of its divisors is an integer number (1050341836320).

Almost surely, 2^{20122010100101} is an apocalyptic number.

It is an amenable number.

20122010100101 is a deficient number, since it is larger than the sum of its proper divisors (5086193971579).

20122010100101 is a wasteful number, since it uses less digits than its factorization.

20122010100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515313 (or 515306 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 20122010100101 its reverse (10100101022102), we get a palindrome (30222111122203).

The spelling of 20122010100101 in words is "twenty trillion, one hundred twenty-two billion, ten million, one hundred thousand, one hundred one".