1010011100112 has 120 divisors (see below), whose sum is σ = 3241929437760. Its totient is φ = 287547563520.

The previous prime is 1010011100057. The next prime is 1010011100117. The reversal of 1010011100112 is 2110011100101.

1010011100112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 1010011100094 and 1010011100103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010011100117) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1499662 + ... + 2066157.

It is an arithmetic number, because the mean of its divisors is an integer number (27016078648).

Almost surely, 2^{1010011100112} is an apocalyptic number.

1010011100112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1010011100112 is an abundant number, since it is smaller than the sum of its proper divisors (2231918337648).

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

1010011100112 is a wasteful number, since it uses less digits than its factorization.

1010011100112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3566121 (or 3566112 counting only the distinct ones).

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

Adding to 1010011100112 its reverse (2110011100101), we get a palindrome (3120022200213).

The spelling of 1010011100112 in words is "one trillion, ten billion, eleven million, one hundred thousand, one hundred twelve".