10002101110010 has 32 divisors (see below), whose sum is σ = 18443182842000. Its totient is φ = 3903198819840.

The previous prime is 10002101109983. The next prime is 10002101110013. The reversal of 10002101110010 is 1001110120001.

It is a happy number.

10002101110010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 1605093887929 + 8397007222081 = 1266923^2 + 2897759^2 .

It is a super-2 number, since 2×10002101110010² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10002101110010.

It is not an unprimeable number, because it can be changed into a prime (10002101110013) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34043216 + ... + 34335764.

Almost surely, 2^{10002101110010} is an apocalyptic number.

10002101110010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10002101110010 is a deficient number, since it is larger than the sum of its proper divisors (8441081731990).

10002101110010 is a wasteful number, since it uses less digits than its factorization.

10002101110010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375986.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 10002101110010 its reverse (1001110120001), we get a palindrome (11003211230011).

Subtracting from 10002101110010 its reverse (1001110120001), we obtain a palindrome (9000990990009).

The spelling of 10002101110010 in words is "ten trillion, two billion, one hundred one million, one hundred ten thousand, ten".