1011101100012 has 36 divisors (see below), whose sum is σ = 2586632139000. Its totient is φ = 332973052032.

The previous prime is 1011101100007. The next prime is 1011101100043. The reversal of 1011101100012 is 2100011011101.

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

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 = 1011101099967 and 1011101100003.

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, 169190637 + ... + 169196612.

It is an arithmetic number, because the mean of its divisors is an integer number (71850892750).

Almost surely, 2^{1011101100012} is an apocalyptic number.

1011101100012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1011101100012 is an abundant number, since it is smaller than the sum of its proper divisors (1575531038988).

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

1011101100012 is a wasteful number, since it uses less digits than its factorization.

1011101100012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338387342 (or 338387337 counting only the distinct ones).

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

Adding to 1011101100012 its reverse (2100011011101), we get a palindrome (3111112111113).

The spelling of 1011101100012 in words is "one trillion, eleven billion, one hundred one million, one hundred thousand, twelve".