21102101001041 has 2 divisors, whose sum is σ = 21102101001042. Its totient is φ = 21102101001040.

The previous prime is 21102101001019. The next prime is 21102101001049. The reversal of 21102101001041 is 14010010120112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10693063500625 + 10409037500416 = 3270025^2 + 3226304^2 .

It is a cyclic number.

It is not a de Polignac number, because 21102101001041 - 2⁴² = 16704054489937 is a prime.

It is a super-3 number, since 3×21102101001041³ (a number of 41 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (21102101001049) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10551050500520 + 10551050500521.

It is an arithmetic number, because the mean of its divisors is an integer number (10551050500521).

Almost surely, 2^{21102101001041} is an apocalyptic number.

It is an amenable number.

21102101001041 is a deficient number, since it is larger than the sum of its proper divisors (1).

21102101001041 is an equidigital number, since it uses as much as digits as its factorization.

21102101001041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 21102101001041 its reverse (14010010120112), we get a palindrome (35112111121153).

The spelling of 21102101001041 in words is "twenty-one trillion, one hundred two billion, one hundred one million, one thousand, forty-one".