101142120141 has 24 divisors (see below), whose sum is σ = 149248479744. Its totient is φ = 65973130080.

The previous prime is 101142120133. The next prime is 101142120181. The reversal of 101142120141 is 141021241101.

101142120141 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 421 + 201 + 41 = 666.

It is not a de Polignac number, because 101142120141 - 2³ = 101142120133 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101142120181) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1406071 + ... + 1476251.

It is an arithmetic number, because the mean of its divisors is an integer number (6218686656).

Almost surely, 2^101142120141 is an apocalyptic number.

It is an amenable number.

101142120141 is a deficient number, since it is larger than the sum of its proper divisors (48106359603).

101142120141 is a wasteful number, since it uses less digits than its factorization.

101142120141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73641 (or 73638 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 101142120141 its reverse (141021241101), we get a palindrome (242163361242).

The spelling of 101142120141 in words is "one hundred one billion, one hundred forty-two million, one hundred twenty thousand, one hundred forty-one".