101101202120101 has 4 divisors (see below), whose sum is σ = 104587450469100. Its totient is φ = 97614953771104.

The previous prime is 101101202120033. The next prime is 101101202120167. The reversal of 101101202120101 is 101021202101101.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 82462563192100 + 18638638928001 = 9080890^2 + 4317249^2 .

It is a cyclic number.

It is not a de Polignac number, because 101101202120101 - 2¹¹ = 101101202118053 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101101202120201) 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 in 3 ways as a sum of consecutive naturals, for example, 1743124174456 + ... + 1743124174513.

It is an arithmetic number, because the mean of its divisors is an integer number (26146862617275).

Almost surely, 2^{101101202120101} is an apocalyptic number.

It is an amenable number.

101101202120101 is a deficient number, since it is larger than the sum of its proper divisors (3486248348999).

101101202120101 is an equidigital number, since it uses as much as digits as its factorization.

101101202120101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3486248348998.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 101101202120101 its reverse (101021202101101), we get a palindrome (202122404221202).

The spelling of 101101202120101 in words is "one hundred one trillion, one hundred one billion, two hundred two million, one hundred twenty thousand, one hundred one".