1001002012110 has 96 divisors (see below), whose sum is σ = 2625998356800. Its totient is φ = 264541115904.

The previous prime is 1001002012093. The next prime is 1001002012177. The reversal of 1001002012110 is 112102001001.

It is a happy number.

1001002012110 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 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 = 1001002012092 and 1001002012101.

It is a congruent number.

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, 7317904 + ... + 7453436.

It is an arithmetic number, because the mean of its divisors is an integer number (27354149550).

Almost surely, 2^{1001002012110} is an apocalyptic number.

1001002012110 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 1001002012110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1312999178400).

1001002012110 is an abundant number, since it is smaller than the sum of its proper divisors (1624996344690).

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

1001002012110 is a wasteful number, since it uses less digits than its factorization.

1001002012110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136282 (or 136279 counting only the distinct ones).

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

Adding to 1001002012110 its reverse (112102001001), we get a palindrome (1113104013111).

The spelling of 1001002012110 in words is "one trillion, one billion, two million, twelve thousand, one hundred ten".