1002201002112 has 64 divisors (see below), whose sum is σ = 2699590800960. Its totient is φ = 329361822720.

The previous prime is 1002201002093. The next prime is 1002201002147. The reversal of 1002201002112 is 2112001022001.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18352303 + ... + 18406830.

It is an arithmetic number, because the mean of its divisors is an integer number (42181106265).

Almost surely, 2^{1002201002112} is an apocalyptic number.

1002201002112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1002201002112 is an abundant number, since it is smaller than the sum of its proper divisors (1697389798848).

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

1002201002112 is an equidigital number, since it uses as much as digits as its factorization.

1002201002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36759221 (or 36759209 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1002201002112 its reverse (2112001022001), we get a palindrome (3114202024113).

The spelling of 1002201002112 in words is "one trillion, two billion, two hundred one million, two thousand, one hundred twelve".