101442012002017 has 16 divisors (see below), whose sum is σ = 105389297684992. Its totient is φ = 97537006344960.

The previous prime is 101442012001987. The next prime is 101442012002059. The reversal of 101442012002017 is 710200210244101.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101442012002017 is a prime.

It is a super-2 number, since 2×101442012002017² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101442012001982 and 101442012002000.

It is not an unprimeable number, because it can be changed into a prime (101442012042017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63932758 + ... + 65500240.

It is an arithmetic number, because the mean of its divisors is an integer number (6586831105312).

Almost surely, 2^{101442012002017} is an apocalyptic number.

It is an amenable number.

101442012002017 is a deficient number, since it is larger than the sum of its proper divisors (3947285682975).

101442012002017 is a wasteful number, since it uses less digits than its factorization.

101442012002017 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1580968.

The product of its (nonzero) digits is 896, while the sum is 25.

Adding to 101442012002017 its reverse (710200210244101), we get a palindrome (811642222246118).

The spelling of 101442012002017 in words is "one hundred one trillion, four hundred forty-two billion, twelve million, two thousand, seventeen".