101442012002101 has 4 divisors (see below), whose sum is σ = 101442113649292. Its totient is φ = 101441910354912.

The previous prime is 101442012002059. The next prime is 101442012002161. The reversal of 101442012002101 is 101200210244101.

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 57815128347876 + 43626883654225 = 7603626^2 + 6605065^2 .

It is a cyclic number.

It is not a de Polignac number, because 101442012002101 - 2²³ = 101442003613493 is a prime.

It is a super-3 number, since 3×101442012002101³ (a number of 43 digits) contains 333 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 (101442012002161) 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, 49311630 + ... + 51327583.

It is an arithmetic number, because the mean of its divisors is an integer number (25360528412323).

Almost surely, 2^{101442012002101} is an apocalyptic number.

It is an amenable number.

101442012002101 is a deficient number, since it is larger than the sum of its proper divisors (101647191).

101442012002101 is a wasteful number, since it uses less digits than its factorization.

101442012002101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101647190.

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 101442012002101 its reverse (101200210244101), we get a palindrome (202642222246202).

The spelling of 101442012002101 in words is "one hundred one trillion, four hundred forty-two billion, twelve million, two thousand, one hundred one".