10111002111000 has 192 divisors, whose sum is σ = 39057356969280. Its totient is φ = 2311086182400.

The previous prime is 10111002110981. The next prime is 10111002111101. The reversal of 10111002111000 is 11120011101.

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 80183049 + ... + 80309048.

It is an arithmetic number, because the mean of its divisors is an integer number (203423734215).

Almost surely, 2^{10111002111000} is an apocalyptic number.

10111002111000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10111002111000 is an abundant number, since it is smaller than the sum of its proper divisors (28946354858280).

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

10111002111000 is a wasteful number, since it uses less digits than its factorization.

10111002111000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160492131 (or 160492114 counting only the distinct ones).

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

Adding to 10111002111000 its reverse (11120011101), we get a palindrome (10122122122101).

The spelling of 10111002111000 in words is "ten trillion, one hundred eleven billion, two million, one hundred eleven thousand".