100142241001 has 16 divisors (see below), whose sum is σ = 113865043968. Its totient is φ = 87246291600.

The previous prime is 100142240983. The next prime is 100142241019.

It is a happy number.

100142241001 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (100142240983) and next prime (100142241019).

It is a cyclic number.

It is not a de Polignac number, because 100142241001 - 2¹⁵ = 100142208233 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100142244001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1390471 + ... + 1460716.

It is an arithmetic number, because the mean of its divisors is an integer number (7116565248).

Almost surely, 2^100142241001 is an apocalyptic number.

100142241001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100142241001 is a deficient number, since it is larger than the sum of its proper divisors (13722802967).

100142241001 is a wasteful number, since it uses less digits than its factorization.

100142241001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2851332.

The product of its (nonzero) digits is 64, while the sum is 16.

It can be divided in two parts, 100142 and 241001, that added together give a palindrome (341143).

The spelling of 100142241001 in words is "one hundred billion, one hundred forty-two million, two hundred forty-one thousand, one".