10010000010010 has 432 divisors, whose sum is σ = 26260359602400. Its totient is φ = 2728369163520.

The previous prime is 10010000009899. The next prime is 10010000010011. The reversal of 10010000010010 is 1001000001001.

10010000010010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (10010000010011) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 190353901 + ... + 190406479.

It is an arithmetic number, because the mean of its divisors is an integer number (60787869450).

Almost surely, 2^{10010000010010} is an apocalyptic number.

10010000010010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10010000010010 is an abundant number, since it is smaller than the sum of its proper divisors (16250359592390).

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

10010000010010 is a wasteful number, since it uses less digits than its factorization.

10010000010010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52667 (or 52636 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 4.

Adding to 10010000010010 its reverse (1001000001001), we get a palindrome (11011000011011).

Subtracting from 10010000010010 its reverse (1001000001001), we obtain a palindrome (9009000009009).

It can be divided in two parts, 100100000 and 10010, that multiplied together give a square (1002001000000 = 1001000²).

The spelling of 10010000010010 in words is "ten trillion, ten billion, ten thousand, ten".