101112141144201 has 32 divisors (see below), whose sum is σ = 149568123456000. Its totient is φ = 60240163658880.

The previous prime is 101112141144197. The next prime is 101112141144229. The reversal of 101112141144201 is 102441141211101.

It is not a de Polignac number, because 101112141144201 - 2² = 101112141144197 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101112141144251) 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 31 ways as a sum of consecutive naturals, for example, 95689450 + ... + 96740348.

It is an arithmetic number, because the mean of its divisors is an integer number (4674003858000).

Almost surely, 2^{101112141144201} is an apocalyptic number.

101112141144201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101112141144201 is a deficient number, since it is larger than the sum of its proper divisors (48455982311799).

101112141144201 is a wasteful number, since it uses less digits than its factorization.

101112141144201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1100389.

The product of its (nonzero) digits is 256, while the sum is 24.

Adding to 101112141144201 its reverse (102441141211101), we get a palindrome (203553282355302).

The spelling of 101112141144201 in words is "one hundred one trillion, one hundred twelve billion, one hundred forty-one million, one hundred forty-four thousand, two hundred one".