101000010101112 has 40 divisors (see below), whose sum is σ = 282893546812800. Its totient is φ = 33666670033488.

The previous prime is 101000010101059. The next prime is 101000010101117. The reversal of 101000010101112 is 211101010000101.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 101000010101094 and 101000010101103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101000010101117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 77932105912 + ... + 77932107207.

It is an arithmetic number, because the mean of its divisors is an integer number (7072338670320).

Almost surely, 2^{101000010101112} is an apocalyptic number.

101000010101112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101000010101112 is an abundant number, since it is smaller than the sum of its proper divisors (181893536711688).

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

101000010101112 is a wasteful number, since it uses less digits than its factorization.

101000010101112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155864213137 (or 155864213124 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 101000010101112 its reverse (211101010000101), we get a palindrome (312101020101213).

The spelling of 101000010101112 in words is "one hundred one trillion, ten million, one hundred one thousand, one hundred twelve".