101140214114441 has 16 divisors (see below), whose sum is σ = 107127706427280. Its totient is φ = 95156956968960.

The previous prime is 101140214114419. The next prime is 101140214114447. The reversal of 101140214114441 is 144411412041101.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 565488400 + 101139648626041 = 23780^2 + 10056821^2 .

It is a cyclic number.

It is not a de Polignac number, because 101140214114441 - 2¹⁸ = 101140213852297 is a prime.

It is a super-2 number, since 2×101140214114441² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101140214114447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 651561245 + ... + 651716453.

It is an arithmetic number, because the mean of its divisors is an integer number (6695481651705).

Almost surely, 2^{101140214114441} is an apocalyptic number.

It is an amenable number.

101140214114441 is a deficient number, since it is larger than the sum of its proper divisors (5987492312839).

101140214114441 is a wasteful number, since it uses less digits than its factorization.

101140214114441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168604.

The product of its (nonzero) digits is 2048, while the sum is 29.

Adding to 101140214114441 its reverse (144411412041101), we get a palindrome (245551626155542).

The spelling of 101140214114441 in words is "one hundred one trillion, one hundred forty billion, two hundred fourteen million, one hundred fourteen thousand, four hundred forty-one".