10111111000002 has 96 divisors (see below), whose sum is σ = 22200878628864. Its totient is φ = 3325494031200.

The previous prime is 10111110999967. The next prime is 10111111000021. The reversal of 10111111000002 is 20000011111101.

It is a super-2 number, since 2×10111111000002² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 692961727 + ... + 692976317.

It is an arithmetic number, because the mean of its divisors is an integer number (231259152384).

Almost surely, 2^{10111111000002} is an apocalyptic number.

10111111000002 is an abundant number, since it is smaller than the sum of its proper divisors (12089767628862).

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

10111111000002 is a wasteful number, since it uses less digits than its factorization.

10111111000002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16124 (or 16121 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 10111111000002 its reverse (20000011111101), we get a palindrome (30111122111103).

The spelling of 10111111000002 in words is "ten trillion, one hundred eleven billion, one hundred eleven million, two", and thus it is an aban number.