1012416142101 has 16 divisors (see below), whose sum is σ = 1661400849024. Its totient is φ = 534021701184.

The previous prime is 1012416142061. The next prime is 1012416142187.

It is a happy number.

1012416142101 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1012416142101 - 2⁹ = 1012416141589 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012416146101) 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, 1854241746 + ... + 1854242291.

It is an arithmetic number, because the mean of its divisors is an integer number (103837553064).

Almost surely, 2^{1012416142101} is an apocalyptic number.

It is an amenable number.

1012416142101 is a deficient number, since it is larger than the sum of its proper divisors (648984706923).

1012416142101 is a wasteful number, since it uses less digits than its factorization.

1012416142101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3708484060.

The product of its (nonzero) digits is 384, while the sum is 24.

The spelling of 1012416142101 in words is "one trillion, twelve billion, four hundred sixteen million, one hundred forty-two thousand, one hundred one".