21101011011007 has 2 divisors, whose sum is σ = 21101011011008. Its totient is φ = 21101011011006.

The previous prime is 21101011011001. The next prime is 21101011011023. The reversal of 21101011011007 is 70011011010112.

It is an a-pointer prime, because the next prime (21101011011023) can be obtained adding 21101011011007 to its sum of digits (16).

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 21101011011007 - 2²⁷ = 21100876793279 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21101011011001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10550505505503 + 10550505505504.

It is an arithmetic number, because the mean of its divisors is an integer number (10550505505504).

Almost surely, 2^{21101011011007} is an apocalyptic number.

21101011011007 is a deficient number, since it is larger than the sum of its proper divisors (1).

21101011011007 is an equidigital number, since it uses as much as digits as its factorization.

21101011011007 is an evil number, because the sum of its binary digits is even.

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

Adding to 21101011011007 its reverse (70011011010112), we get a palindrome (91112022021119).

The spelling of 21101011011007 in words is "twenty-one trillion, one hundred one billion, eleven million, eleven thousand, seven".