101414140101 has 20 divisors (see below), whose sum is σ = 160406681292. Its totient is φ = 63632400768.

The previous prime is 101414140081. The next prime is 101414140123. The reversal of 101414140101 is 101041414101.

101414140101 is a `hidden beast` number, since 10 + 1 + 414 + 140 + 101 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 51495409476 + 49918730625 = 226926^2 + 223425^2 .

It is not a de Polignac number, because 101414140101 - 2¹⁰ = 101414139077 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101414140301) 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 19 ways as a sum of consecutive naturals, for example, 36822930 + ... + 36825683.

Almost surely, 2^101414140101 is an apocalyptic number.

It is an amenable number.

101414140101 is a deficient number, since it is larger than the sum of its proper divisors (58992541191).

101414140101 is an equidigital number, since it uses as much as digits as its factorization.

101414140101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73648642 (or 73648633 counting only the distinct ones).

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

Adding to 101414140101 its reverse (101041414101), we get a palindrome (202455554202).

The spelling of 101414140101 in words is "one hundred one billion, four hundred fourteen million, one hundred forty thousand, one hundred one".