20101100122321 has 16 divisors (see below), whose sum is σ = 20788097015808. Its totient is φ = 19416537320400.

The previous prime is 20101100122307. The next prime is 20101100122333. The reversal of 20101100122321 is 12322100110102.

It is a cyclic number.

It is not a de Polignac number, because 20101100122321 - 2¹¹ = 20101100120273 is a prime.

It is a super-2 number, since 2×20101100122321² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 20101100122295 and 20101100122304.

It is not an unprimeable number, because it can be changed into a prime (20101100129321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52225446 + ... + 52608928.

It is an arithmetic number, because the mean of its divisors is an integer number (1299256063488).

Almost surely, 2^{20101100122321} is an apocalyptic number.

It is an amenable number.

20101100122321 is a deficient number, since it is larger than the sum of its proper divisors (686996893487).

20101100122321 is a wasteful number, since it uses less digits than its factorization.

20101100122321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386652.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 20101100122321 its reverse (12322100110102), we get a palindrome (32423200232423).

The spelling of 20101100122321 in words is "twenty trillion, one hundred one billion, one hundred million, one hundred twenty-two thousand, three hundred twenty-one".