1000110100002 has 32 divisors (see below), whose sum is σ = 2154402938688. Its totient is φ = 307680520896.

The previous prime is 1000110099997. The next prime is 1000110100007. The reversal of 1000110100002 is 2000010110001.

It is an interprime number because it is at equal distance from previous prime (1000110099997) and next prime (1000110100007).

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

It is not an unprimeable number, because it can be changed into a prime (1000110100007) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 420433 + ... + 1475460.

It is an arithmetic number, because the mean of its divisors is an integer number (67325091834).

Almost surely, 2^{1000110100002} is an apocalyptic number.

1000110100002 is an abundant number, since it is smaller than the sum of its proper divisors (1154292838686).

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

1000110100002 is a wasteful number, since it uses less digits than its factorization.

1000110100002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1902674.

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

Adding to 1000110100002 its reverse (2000010110001), we get a palindrome (3000120210003).

Subtracting 1000110100002 from its reverse (2000010110001), we obtain a palindrome (999900009999).

The spelling of 1000110100002 in words is "one trillion, one hundred ten million, one hundred thousand, two".