1001101100112 has 60 divisors (see below), whose sum is σ = 2803384152660. Its totient is φ = 333498898944.

The previous prime is 1001101100107. The next prime is 1001101100117. The reversal of 1001101100112 is 2110011011001.

It is an interprime number because it is at equal distance from previous prime (1001101100107) and next prime (1001101100117).

It can be written as a sum of positive squares in 2 ways, for example, as 674461417536 + 326639682576 = 821256^2 + 571524^2 .

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 = 1001101100094 and 1001101100103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001101100117) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1859187 + ... + 2336402.

It is an arithmetic number, because the mean of its divisors is an integer number (46723069211).

Almost surely, 2^{1001101100112} is an apocalyptic number.

1001101100112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1001101100112 is an abundant number, since it is smaller than the sum of its proper divisors (1802283052548).

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

1001101100112 is a wasteful number, since it uses less digits than its factorization.

1001101100112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4197260 (or 4197251 counting only the distinct ones).

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

Adding to 1001101100112 its reverse (2110011011001), we get a palindrome (3111112111113).

The spelling of 1001101100112 in words is "one trillion, one billion, one hundred one million, one hundred thousand, one hundred twelve".