1000101101112 has 96 divisors (see below), whose sum is σ = 2868592456080. Its totient is φ = 313685498880.

The previous prime is 1000101101081. The next prime is 1000101101117. The reversal of 1000101101112 is 2111011010001.

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 = 1000101101094 and 1000101101103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000101101117) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 5396062 + ... + 5578322.

Almost surely, 2^{1000101101112} is an apocalyptic number.

1000101101112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1000101101112 is an abundant number, since it is smaller than the sum of its proper divisors (1868491354968).

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

1000101101112 is a wasteful number, since it uses less digits than its factorization.

1000101101112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186773 (or 186766 counting only the distinct ones).

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

Adding to 1000101101112 its reverse (2111011010001), we get a palindrome (3111112111113).

The spelling of 1000101101112 in words is "one trillion, one hundred one million, one hundred one thousand, one hundred twelve".