21011101021037 has 2 divisors, whose sum is σ = 21011101021038. Its totient is φ = 21011101021036.

The previous prime is 21011101020941. The next prime is 21011101021061. The reversal of 21011101021037 is 73012010111012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20881372108996 + 129728912041 = 4569614^2 + 360179^2 .

It is a cyclic number.

It is not a de Polignac number, because 21011101021037 - 2²⁶ = 21011033912173 is a prime.

It is a super-2 number, since 2×21011101021037² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21011109021037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10505550510518 + 10505550510519.

It is an arithmetic number, because the mean of its divisors is an integer number (10505550510519).

Almost surely, 2^{21011101021037} is an apocalyptic number.

It is an amenable number.

21011101021037 is a deficient number, since it is larger than the sum of its proper divisors (1).

21011101021037 is an equidigital number, since it uses as much as digits as its factorization.

21011101021037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 84, while the sum is 20.

Adding to 21011101021037 its reverse (73012010111012), we get a palindrome (94023111132049).

The spelling of 21011101021037 in words is "twenty-one trillion, eleven billion, one hundred one million, twenty-one thousand, thirty-seven".