1001102112012 has 24 divisors (see below), whose sum is σ = 2336013176112. Its totient is φ = 333685240000.

The previous prime is 1001102112011. The next prime is 1001102112041. The reversal of 1001102112012 is 2102112011001.

1001102112012 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 (12).

It is not an unprimeable number, because it can be changed into a prime (1001102112011) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1661739 + ... + 2182562.

It is an arithmetic number, because the mean of its divisors is an integer number (97333882338).

Almost surely, 2^{1001102112012} is an apocalyptic number.

1001102112012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1001102112012 is an abundant number, since it is smaller than the sum of its proper divisors (1334911064100).

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

1001102112012 is a wasteful number, since it uses less digits than its factorization.

1001102112012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3866009 (or 3866007 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1001102112012 its reverse (2102112011001), we get a palindrome (3103214123013).

It can be divided in two parts, 100110 and 2112012, that added together give a palindrome (2212122).

The spelling of 1001102112012 in words is "one trillion, one billion, one hundred two million, one hundred twelve thousand, twelve".