10010100210011 has 16 divisors (see below), whose sum is σ = 11006518394880. Its totient is φ = 9028089060480.

The previous prime is 10010100209981. The next prime is 10010100210017. The reversal of 10010100210011 is 11001200101001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 10010100210011 - 2⁶ = 10010100209947 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10010100210017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40402070 + ... + 40649076.

It is an arithmetic number, because the mean of its divisors is an integer number (687907399680).

Almost surely, 2^{10010100210011} is an apocalyptic number.

10010100210011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10010100210011 is a deficient number, since it is larger than the sum of its proper divisors (996418184869).

10010100210011 is a wasteful number, since it uses less digits than its factorization.

10010100210011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276154.

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

Adding to 10010100210011 its reverse (11001200101001), we get a palindrome (21011300311012).

The spelling of 10010100210011 in words is "ten trillion, ten billion, one hundred million, two hundred ten thousand, eleven".