1002102101112 has 384 divisors, whose sum is σ = 3116344492800. Its totient is φ = 266972848128.

The previous prime is 1002102101071. The next prime is 1002102101137. The reversal of 1002102101112 is 2111012012001.

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

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 426970323 + ... + 426972669.

It is an arithmetic number, because the mean of its divisors is an integer number (8115480450).

Almost surely, 2^{1002102101112} is an apocalyptic number.

1002102101112 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 1002102101112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1558172246400).

1002102101112 is an abundant number, since it is smaller than the sum of its proper divisors (2114242391688).

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

1002102101112 is a wasteful number, since it uses less digits than its factorization.

1002102101112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2683 (or 2672 counting only the distinct ones).

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

Adding to 1002102101112 its reverse (2111012012001), we get a palindrome (3113114113113).

The spelling of 1002102101112 in words is "one trillion, two billion, one hundred two million, one hundred one thousand, one hundred twelve".