101116141 has 16 divisors (see below), whose sum is σ = 120987648. Its totient is φ = 82681200.

The previous prime is 101116133. The next prime is 101116151. The reversal of 101116141 is 141611101.

It is not a de Polignac number, because 101116141 - 2³ = 101116133 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 (101116111) 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, 12126 + ... + 18688.

It is an arithmetic number, because the mean of its divisors is an integer number (7561728).

Almost surely, 2^101116141 is an apocalyptic number.

It is an amenable number.

101116141 is a deficient number, since it is larger than the sum of its proper divisors (19871507).

101116141 is an equidigital number, since it uses as much as digits as its factorization.

101116141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6672.

The product of its (nonzero) digits is 24, while the sum is 16.

The square root of 101116141 is about 10055.6521916781. The cubic root of 101116141 is about 465.8793872676.

Adding to 101116141 its reverse (141611101), we get a palindrome (242727242).

The spelling of 101116141 in words is "one hundred one million, one hundred sixteen thousand, one hundred forty-one".