101101242101101 has 12 divisors (see below), whose sum is σ = 112786435627936. Its totient is φ = 90538425754920.

The previous prime is 101101242101089. The next prime is 101101242101143.

It is a happy number.

101101242101101 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 101101242101101 - 2⁹ = 101101242100589 is a prime.

It is a super-2 number, since 2×101101242101101² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101101242101201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6235420665 + ... + 6235436878.

Almost surely, 2^{101101242101101} is an apocalyptic number.

101101242101101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101101242101101 is a deficient number, since it is larger than the sum of its proper divisors (11685193526835).

101101242101101 is a wasteful number, since it uses less digits than its factorization.

101101242101101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12470857632 (or 12470857621 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 16.

The spelling of 101101242101101 in words is "one hundred one trillion, one hundred one billion, two hundred forty-two million, one hundred one thousand, one hundred one".