10010100002111 has 72 divisors (see below), whose sum is σ = 11628200001600. Its totient is φ = 8608176720000.

The previous prime is 10010100002053. The next prime is 10010100002117. The reversal of 10010100002111 is 11120000101001.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2^k-10010100002111 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010100002117) 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 71 ways as a sum of consecutive naturals, for example, 927800705 + ... + 927811493.

It is an arithmetic number, because the mean of its divisors is an integer number (161502777800).

Almost surely, 2^{10010100002111} is an apocalyptic number.

10010100002111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10010100002111 is a deficient number, since it is larger than the sum of its proper divisors (1618099999489).

10010100002111 is a wasteful number, since it uses less digits than its factorization.

10010100002111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11053 (or 11011 counting only the distinct ones).

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

Adding to 10010100002111 its reverse (11120000101001), we get a palindrome (21130100103112).

The spelling of 10010100002111 in words is "ten trillion, ten billion, one hundred million, two thousand, one hundred eleven".