1001112110010 has 96 divisors (see below), whose sum is σ = 2636329213440. Its totient is φ = 263534978304.

The previous prime is 1001112109993. The next prime is 1001112110027. The reversal of 1001112110010 is 100112111001.

It is an interprime number because it is at equal distance from previous prime (1001112109993) and next prime (1001112110027).

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 = 1001112109974 and 1001112110001.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53863179 + ... + 53881761.

It is an arithmetic number, because the mean of its divisors is an integer number (27461762640).

Almost surely, 2^{1001112110010} is an apocalyptic number.

1001112110010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1001112110010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1318164606720).

1001112110010 is an abundant number, since it is smaller than the sum of its proper divisors (1635217103430).

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

1001112110010 is a wasteful number, since it uses less digits than its factorization.

1001112110010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26252 (or 26249 counting only the distinct ones).

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

Adding to 1001112110010 its reverse (100112111001), we get a palindrome (1101224221011).

Subtracting from 1001112110010 its reverse (100112111001), we obtain a palindrome (900999999009).

The spelling of 1001112110010 in words is "one trillion, one billion, one hundred twelve million, one hundred ten thousand, ten".