101021010201101 has 2 divisors, whose sum is σ = 101021010201102. Its totient is φ = 101021010201100.

The previous prime is 101021010201029. The next prime is 101021010201119. The reversal of 101021010201101 is 101102010120101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 92162208013225 + 8858802187876 = 9600115^2 + 2976374^2 .

It is a cyclic number.

It is not a de Polignac number, because 101021010201101 - 2²² = 101021006006797 is a prime.

It is a super-2 number, since 2×101021010201101² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101021010201131) 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, 50510505100550 + 50510505100551.

It is an arithmetic number, because the mean of its divisors is an integer number (50510505100551).

Almost surely, 2^{101021010201101} is an apocalyptic number.

It is an amenable number.

101021010201101 is a deficient number, since it is larger than the sum of its proper divisors (1).

101021010201101 is an equidigital number, since it uses as much as digits as its factorization.

101021010201101 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 101021010201101 its reverse (101102010120101), we get a palindrome (202123020321202).

The spelling of 101021010201101 in words is "one hundred one trillion, twenty-one billion, ten million, two hundred one thousand, one hundred one".