101014410012 has 12 divisors (see below), whose sum is σ = 235700290056. Its totient is φ = 33671470000.

The previous prime is 101014410001. The next prime is 101014410017. The reversal of 101014410012 is 210014410101.

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-2 number, since 2×101014410012² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101014409973 and 101014410000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101014410017) 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 3 ways as a sum of consecutive naturals, for example, 4208933739 + ... + 4208933762.

It is an arithmetic number, because the mean of its divisors is an integer number (19641690838).

Almost surely, 2^101014410012 is an apocalyptic number.

101014410012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101014410012 is an abundant number, since it is smaller than the sum of its proper divisors (134685880044).

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

101014410012 is a wasteful number, since it uses less digits than its factorization.

101014410012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8417867508 (or 8417867506 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 101014410012 its reverse (210014410101), we get a palindrome (311028820113).

The spelling of 101014410012 in words is "one hundred one billion, fourteen million, four hundred ten thousand, twelve".