101142133141 has 16 divisors (see below), whose sum is σ = 116248049280. Its totient is φ = 86201579520.

The previous prime is 101142133121. The next prime is 101142133181. The reversal of 101142133141 is 141331241101.

It is not a de Polignac number, because 101142133141 - 2⁵ = 101142133109 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101142133121) 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, 1066245 + ... + 1157221.

It is an arithmetic number, because the mean of its divisors is an integer number (7265503080).

Almost surely, 2^101142133141 is an apocalyptic number.

It is an amenable number.

101142133141 is a deficient number, since it is larger than the sum of its proper divisors (15105916139).

101142133141 is an equidigital number, since it uses as much as digits as its factorization.

101142133141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91884.

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 101142133141 its reverse (141331241101), we get a palindrome (242473374242).

The spelling of 101142133141 in words is "one hundred one billion, one hundred forty-two million, one hundred thirty-three thousand, one hundred forty-one".