10010000011111 has 8 divisors (see below), whose sum is σ = 10112761697040. Its totient is φ = 9907408886208.

The previous prime is 10010000011097. The next prime is 10010000011129. The reversal of 10010000011111 is 11111000001001.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10010000011111 - 2¹¹ = 10010000009063 is a prime.

It is a Duffinian number.

10010000011111 is a modest number, since divided by 11111 gives 1001 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 10010000011094 and 10010000011103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010000011171) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42522276 + ... + 42757033.

It is an arithmetic number, because the mean of its divisors is an integer number (1264095212130).

Almost surely, 2^{10010000011111} is an apocalyptic number.

10010000011111 is a deficient number, since it is larger than the sum of its proper divisors (102761685929).

10010000011111 is a wasteful number, since it uses less digits than its factorization.

10010000011111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85280513.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 10010000011111 its reverse (11111000001001), we get a palindrome (21121000012112).

The spelling of 10010000011111 in words is "ten trillion, ten billion, eleven thousand, one hundred eleven".