21110120101001 has 2 divisors, whose sum is σ = 21110120101002. Its totient is φ = 21110120101000.

The previous prime is 21110120100989. The next prime is 21110120101027. The reversal of 21110120101001 is 10010102101112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 13302789995401 + 7807330105600 = 3647299^2 + 2794160^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-21110120101001 is a prime.

It is not a weakly prime, because it can be changed into another prime (21110120101061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10555060050500 + 10555060050501.

It is an arithmetic number, because the mean of its divisors is an integer number (10555060050501).

Almost surely, 2^{21110120101001} is an apocalyptic number.

It is an amenable number.

21110120101001 is a deficient number, since it is larger than the sum of its proper divisors (1).

21110120101001 is an equidigital number, since it uses as much as digits as its factorization.

21110120101001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 21110120101001 its reverse (10010102101112), we get a palindrome (31120222202113).

The spelling of 21110120101001 in words is "twenty-one trillion, one hundred ten billion, one hundred twenty million, one hundred one thousand, one".