20110100002121 has 2 divisors, whose sum is σ = 20110100002122. Its totient is φ = 20110100002120.

The previous prime is 20110100002067. The next prime is 20110100002189. The reversal of 20110100002121 is 12120000101102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 20000250842896 + 109849159225 = 4472164^2 + 331435^2 .

It is a cyclic number.

It is not a de Polignac number, because 20110100002121 - 2¹⁴ = 20110099985737 is a prime.

It is a super-2 number, since 2×20110100002121² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (20110100007121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10055050001060 + 10055050001061.

It is an arithmetic number, because the mean of its divisors is an integer number (10055050001061).

Almost surely, 2^{20110100002121} is an apocalyptic number.

It is an amenable number.

20110100002121 is a deficient number, since it is larger than the sum of its proper divisors (1).

20110100002121 is an equidigital number, since it uses as much as digits as its factorization.

20110100002121 is an odious number, because the sum of its binary digits is odd.

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

Adding to 20110100002121 its reverse (12120000101102), we get a palindrome (32230100103223).

The spelling of 20110100002121 in words is "twenty trillion, one hundred ten billion, one hundred million, two thousand, one hundred twenty-one".