1002111002112 has 160 divisors (see below), whose sum is σ = 2924000601984. Its totient is φ = 302458880000.

The previous prime is 1002111002093. The next prime is 1002111002131. The reversal of 1002111002112 is 2112001112001.

It is an interprime number because it is at equal distance from previous prime (1002111002093) and next prime (1002111002131).

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, 4122748 + ... + 4359044.

Almost surely, 2^{1002111002112} is an apocalyptic number.

1002111002112 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 1002111002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1462000300992).

1002111002112 is an abundant number, since it is smaller than the sum of its proper divisors (1921889599872).

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

1002111002112 is a wasteful number, since it uses less digits than its factorization.

1002111002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236580 (or 236564 counting only the distinct ones).

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

Adding to 1002111002112 its reverse (2112001112001), we get a palindrome (3114112114113).

The spelling of 1002111002112 in words is "one trillion, two billion, one hundred eleven million, two thousand, one hundred twelve".