1100100002010 has 128 divisors (see below), whose sum is σ = 2799471974400. Its totient is φ = 276114322176.

The previous prime is 1100100001981. The next prime is 1100100002017. The reversal of 1100100002010 is 102000010011.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a self number, because there is not a number n which added to its sum of digits gives 1100100002010.

It is not an unprimeable number, because it can be changed into a prime (1100100002017) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10950669 + ... + 11050671.

It is an arithmetic number, because the mean of its divisors is an integer number (21870874800).

Almost surely, 2^{1100100002010} is an apocalyptic number.

1100100002010 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 1100100002010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1399735987200).

1100100002010 is an abundant number, since it is smaller than the sum of its proper divisors (1699371972390).

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

1100100002010 is a wasteful number, since it uses less digits than its factorization.

1100100002010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100292.

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 1100100002010 its reverse (102000010011), we get a palindrome (1202100012021).

The spelling of 1100100002010 in words is "one trillion, one hundred billion, one hundred million, two thousand, ten".