1002102110112 has 48 divisors (see below), whose sum is σ = 2633653552320. Its totient is φ = 333635876352.

The previous prime is 1002102110059. The next prime is 1002102110131. The reversal of 1002102110112 is 2110112012001.

1002102110112 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6140293 + ... + 6301380.

It is an arithmetic number, because the mean of its divisors is an integer number (54867782340).

Almost surely, 2^{1002102110112} is an apocalyptic number.

1002102110112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1002102110112 is an abundant number, since it is smaller than the sum of its proper divisors (1631551442208).

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

1002102110112 is a wasteful number, since it uses less digits than its factorization.

1002102110112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12442525 (or 12442517 counting only the distinct ones).

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

Adding to 1002102110112 its reverse (2110112012001), we get a palindrome (3112214122113).

The spelling of 1002102110112 in words is "one trillion, two billion, one hundred two million, one hundred ten thousand, one hundred twelve".