101216254113 has 12 divisors (see below), whose sum is σ = 157447506580. Its totient is φ = 62286925536.

The previous prime is 101216254099. The next prime is 101216254127. The reversal of 101216254113 is 311452612101.

101216254113 is a `hidden beast` number, since 1 + 0 + 1 + 21 + 625 + 4 + 1 + 13 = 666.

It is an interprime number because it is at equal distance from previous prime (101216254099) and next prime (101216254127).

It can be written as a sum of positive squares in 2 ways, for example, as 50619600144 + 50596653969 = 224988^2 + 224937^2 .

It is not a de Polignac number, because 101216254113 - 2⁵ = 101216254081 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101216254163) 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 11 ways as a sum of consecutive naturals, for example, 432547978 + ... + 432548211.

Almost surely, 2^101216254113 is an apocalyptic number.

101216254113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

101216254113 is a deficient number, since it is larger than the sum of its proper divisors (56231252467).

101216254113 is a wasteful number, since it uses less digits than its factorization.

101216254113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 865096208 (or 865096205 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

Adding to 101216254113 its reverse (311452612101), we get a palindrome (412668866214).

The spelling of 101216254113 in words is "one hundred one billion, two hundred sixteen million, two hundred fifty-four thousand, one hundred thirteen".