1001101010112 has 672 divisors, whose sum is σ = 3532038981120. Its totient is φ = 265472722944.

The previous prime is 1001101010111. The next prime is 1001101010137. The reversal of 1001101010112 is 2110101011001.

It is a tau number, because it is divible by the number of its divisors (672).

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 = 1001101010094 and 1001101010103.

It is not an unprimeable number, because it can be changed into a prime (1001101010111) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1465740523 + ... + 1465741205.

Almost surely, 2^{1001101010112} is an apocalyptic number.

1001101010112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1001101010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1766019490560).

1001101010112 is an abundant number, since it is smaller than the sum of its proper divisors (2530937971008).

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

1001101010112 is an equidigital number, since it uses as much as digits as its factorization.

1001101010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 818 (or 767 counting only the distinct ones).

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

Adding to 1001101010112 its reverse (2110101011001), we get a palindrome (3111202021113).

The spelling of 1001101010112 in words is "one trillion, one billion, one hundred one million, ten thousand, one hundred twelve".