1002100012110 has 96 divisors (see below), whose sum is σ = 2683920264480. Its totient is φ = 259252300800.

The previous prime is 1002100012073. The next prime is 1002100012159. The reversal of 1002100012110 is 112100012001.

It is a happy number.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1002100012092 and 1002100012101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 98071 + ... + 1419090.

It is an arithmetic number, because the mean of its divisors is an integer number (27957502755).

Almost surely, 2^{1002100012110} is an apocalyptic number.

1002100012110 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 1002100012110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1341960132240).

1002100012110 is an abundant number, since it is smaller than the sum of its proper divisors (1681820252370).

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

1002100012110 is a wasteful number, since it uses less digits than its factorization.

1002100012110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1517394 (or 1517391 counting only the distinct ones).

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

Adding to 1002100012110 its reverse (112100012001), we get a palindrome (1114200024111).

The spelling of 1002100012110 in words is "one trillion, two billion, one hundred million, twelve thousand, one hundred ten".