101361116412 has 36 divisors (see below), whose sum is σ = 259728225120. Its totient is φ = 33324201792.

The previous prime is 101361116407. The next prime is 101361116459. The reversal of 101361116412 is 214611163101.

101361116412 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 6 + 1 + 11 + 641 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 19282212 + ... + 19287467.

It is an arithmetic number, because the mean of its divisors is an integer number (7214672920).

Almost surely, 2^101361116412 is an apocalyptic number.

101361116412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101361116412 is an abundant number, since it is smaller than the sum of its proper divisors (158367108708).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101361116412 is a wasteful number, since it uses less digits than its factorization.

101361116412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38569762 (or 38569757 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

Adding to 101361116412 its reverse (214611163101), we get a palindrome (315972279513).

The spelling of 101361116412 in words is "one hundred one billion, three hundred sixty-one million, one hundred sixteen thousand, four hundred twelve".