1002001112010 has 96 divisors (see below), whose sum is σ = 2629901813760. Its totient is φ = 264675527424.

The previous prime is 1002001112003. The next prime is 1002001112023. The reversal of 1002001112010 is 102111002001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1002001111983 and 1002001112001.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5621031 + ... + 5796549.

It is an arithmetic number, because the mean of its divisors is an integer number (27394810560).

Almost surely, 2^{1002001112010} is an apocalyptic number.

1002001112010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1002001112010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1314950906880).

1002001112010 is an abundant number, since it is smaller than the sum of its proper divisors (1627900701750).

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

1002001112010 is a wasteful number, since it uses less digits than its factorization.

1002001112010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176132 (or 176129 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1002001112010 its reverse (102111002001), we get a palindrome (1104112114011).

The spelling of 1002001112010 in words is "one trillion, two billion, one million, one hundred twelve thousand, ten".