101442012002041 has 16 divisors (see below), whose sum is σ = 104158166200704. Its totient is φ = 98742602859264.

The previous prime is 101442012001987. The next prime is 101442012002059. The reversal of 101442012002041 is 140200210244101.

It is a cyclic number.

It is not a de Polignac number, because 101442012002041 - 2³⁹ = 100892256188153 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101442012012041) 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, 13443855 + ... + 19586251.

It is an arithmetic number, because the mean of its divisors is an integer number (6509885387544).

Almost surely, 2^{101442012002041} is an apocalyptic number.

It is an amenable number.

101442012002041 is a deficient number, since it is larger than the sum of its proper divisors (2716154198663).

101442012002041 is an equidigital number, since it uses as much as digits as its factorization.

101442012002041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6143760.

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 101442012002041 its reverse (140200210244101), we get a palindrome (241642222246142).

The spelling of 101442012002041 in words is "one hundred one trillion, four hundred forty-two billion, twelve million, two thousand, forty-one".