10211021100127 has 2 divisors, whose sum is σ = 10211021100128. Its totient is φ = 10211021100126.

The previous prime is 10211021100121. The next prime is 10211021100167. The reversal of 10211021100127 is 72100112011201.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10211021100127 is a prime.

It is a super-2 number, since 2×10211021100127² (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 (10211021100121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5105510550063 + 5105510550064.

It is an arithmetic number, because the mean of its divisors is an integer number (5105510550064).

Almost surely, 2^{10211021100127} is an apocalyptic number.

10211021100127 is a deficient number, since it is larger than the sum of its proper divisors (1).

10211021100127 is an equidigital number, since it uses as much as digits as its factorization.

10211021100127 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 56, while the sum is 19.

Adding to 10211021100127 its reverse (72100112011201), we get a palindrome (82311133111328).

The spelling of 10211021100127 in words is "ten trillion, two hundred eleven billion, twenty-one million, one hundred thousand, one hundred twenty-seven".