10002000001110 has 256 divisors, whose sum is σ = 27303439564800. Its totient is φ = 2324619634176.

The previous prime is 10002000001057. The next prime is 10002000001117. The reversal of 10002000001110 is 1110000020001.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002000001117) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4127939359 + ... + 4127941781.

It is an arithmetic number, because the mean of its divisors is an integer number (106654060800).

Almost surely, 2^{10002000001110} is an apocalyptic number.

10002000001110 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 10002000001110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13651719782400).

10002000001110 is an abundant number, since it is smaller than the sum of its proper divisors (17301439563690).

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

10002000001110 is a wasteful number, since it uses less digits than its factorization.

10002000001110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4107.

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

Adding to 10002000001110 its reverse (1110000020001), we get a palindrome (11112000021111).

The spelling of 10002000001110 in words is "ten trillion, two billion, one thousand, one hundred ten".