1002121001112 has 64 divisors (see below), whose sum is σ = 3123494035200. Its totient is φ = 260291168640.

The previous prime is 1002121001053. The next prime is 1002121001129. The reversal of 1002121001112 is 2111001212001.

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 271134787 + ... + 271138482.

It is an arithmetic number, because the mean of its divisors is an integer number (48804594300).

Almost surely, 2^{1002121001112} is an apocalyptic number.

1002121001112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1002121001112 is an abundant number, since it is smaller than the sum of its proper divisors (2121373034088).

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

1002121001112 is a wasteful number, since it uses less digits than its factorization.

1002121001112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542273296 (or 542273292 counting only the distinct ones).

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

Adding to 1002121001112 its reverse (2111001212001), we get a palindrome (3113122213113).

It can be divided in two parts, 100 and 2121001112, that added together give a palindrome (2121001212).

The spelling of 1002121001112 in words is "one trillion, two billion, one hundred twenty-one million, one thousand, one hundred twelve".