101102010110021 has 2 divisors, whose sum is σ = 101102010110022. Its totient is φ = 101102010110020.

The previous prime is 101102010109999. The next prime is 101102010110027. The reversal of 101102010110021 is 120011010201101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100484866317796 + 617143792225 = 10024214^2 + 785585^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101102010110021 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101102010109984 and 101102010110011.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101102010110027) 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, 50551005055010 + 50551005055011.

It is an arithmetic number, because the mean of its divisors is an integer number (50551005055011).

Almost surely, 2^{101102010110021} is an apocalyptic number.

It is an amenable number.

101102010110021 is a deficient number, since it is larger than the sum of its proper divisors (1).

101102010110021 is an equidigital number, since it uses as much as digits as its factorization.

101102010110021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 101102010110021 its reverse (120011010201101), we get a palindrome (221113020311122).

The spelling of 101102010110021 in words is "one hundred one trillion, one hundred two billion, ten million, one hundred ten thousand, twenty-one".