101011100111021 has 2 divisors, whose sum is σ = 101011100111022. Its totient is φ = 101011100111020.

The previous prime is 101011100110967. The next prime is 101011100111041. The reversal of 101011100111021 is 120111001110101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 84065774850121 + 16945325260900 = 9168739^2 + 4116470^2 .

It is a cyclic number.

It is not a de Polignac number, because 101011100111021 - 2¹⁴ = 101011100094637 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101011100110993 and 101011100111011.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101011100111041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50505550055510 + 50505550055511.

It is an arithmetic number, because the mean of its divisors is an integer number (50505550055511).

Almost surely, 2^{101011100111021} is an apocalyptic number.

It is an amenable number.

101011100111021 is a deficient number, since it is larger than the sum of its proper divisors (1).

101011100111021 is an equidigital number, since it uses as much as digits as its factorization.

101011100111021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 101011100111021 its reverse (120111001110101), we get a palindrome (221122101221122).

The spelling of 101011100111021 in words is "one hundred one trillion, eleven billion, one hundred million, one hundred eleven thousand, twenty-one".