101042101 has 4 divisors (see below), whose sum is σ = 106985772. Its totient is φ = 95098432.

The previous prime is 101042083. The next prime is 101042107. The reversal of 101042101 is 101240101.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 101240101 = 3877 ⋅26113.

It can be written as a sum of positive squares in 2 ways, for example, as 76983076 + 24059025 = 8774^2 + 4905^2 .

It is a cyclic number.

It is not a de Polignac number, because 101042101 - 2⁷ = 101041973 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 (101042107) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2971810 + ... + 2971843.

It is an arithmetic number, because the mean of its divisors is an integer number (26746443).

Almost surely, 2^101042101 is an apocalyptic number.

It is an amenable number.

101042101 is a deficient number, since it is larger than the sum of its proper divisors (5943671).

101042101 is an equidigital number, since it uses as much as digits as its factorization.

101042101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5943670.

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 101042101 is about 10051.9700059242. The cubic root of 101042101 is about 465.7656496322.

Adding to 101042101 its reverse (101240101), we get a palindrome (202282202).

The spelling of 101042101 in words is "one hundred one million, forty-two thousand, one hundred one".