101242101242101 has 32 divisors (see below), whose sum is σ = 107256994548480. Its totient is φ = 95371955712000.

The previous prime is 101242101242021. The next prime is 101242101242129.

101242101242101 is nontrivially palindromic in base 10.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101242101242101 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 (101242101246101) 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 in 31 ways as a sum of consecutive naturals, for example, 6464592211 + ... + 6464607871.

It is an arithmetic number, because the mean of its divisors is an integer number (3351781079640).

Almost surely, 2^{101242101242101} is an apocalyptic number.

It is an amenable number.

101242101242101 is a deficient number, since it is larger than the sum of its proper divisors (6014893306379).

101242101242101 is a wasteful number, since it uses less digits than its factorization.

101242101242101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30397.

The product of its (nonzero) digits is 256, while the sum is 22.

It can be divided in two parts, 10124210 and 1242101, that added together give a palindrome (11366311).

The spelling of 101242101242101 in words is "one hundred one trillion, two hundred forty-two billion, one hundred one million, two hundred forty-two thousand, one hundred one".