101100100000021 has 2 divisors, whose sum is σ = 101100100000022. Its totient is φ = 101100100000020.

The previous prime is 101100100000013. The next prime is 101100100000027. The reversal of 101100100000021 is 120000001001101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 76351962437521 + 24748137562500 = 8737961^2 + 4974750^2 .

It is a cyclic number.

It is not a de Polignac number, because 101100100000021 - 2³ = 101100100000013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101100100000027) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50550050000010 + 50550050000011.

It is an arithmetic number, because the mean of its divisors is an integer number (50550050000011).

Almost surely, 2^{101100100000021} is an apocalyptic number.

It is an amenable number.

101100100000021 is a deficient number, since it is larger than the sum of its proper divisors (1).

101100100000021 is an equidigital number, since it uses as much as digits as its factorization.

101100100000021 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 101100100000021 its reverse (120000001001101), we get a palindrome (221100101001122).

The spelling of 101100100000021 in words is "one hundred one trillion, one hundred billion, one hundred million, twenty-one", and thus it is an aban number.