10045142101101 has 64 divisors (see below), whose sum is σ = 14428640378880. Its totient is φ = 6205566755520.

The previous prime is 10045142101087. The next prime is 10045142101123. The reversal of 10045142101101 is 10110124154001.

It is not a de Polignac number, because 10045142101101 - 2⁶ = 10045142101037 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10045142101901) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37233270 + ... + 37502088.

It is an arithmetic number, because the mean of its divisors is an integer number (225447505920).

Almost surely, 2^{10045142101101} is an apocalyptic number.

It is an amenable number.

10045142101101 is a deficient number, since it is larger than the sum of its proper divisors (4383498277779).

10045142101101 is a wasteful number, since it uses less digits than its factorization.

10045142101101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269086.

The product of its (nonzero) digits is 160, while the sum is 21.

Adding to 10045142101101 its reverse (10110124154001), we get a palindrome (20155266255102).

The spelling of 10045142101101 in words is "ten trillion, forty-five billion, one hundred forty-two million, one hundred one thousand, one hundred one".