102111111011000 has 512 divisors, whose sum is σ = 302248770969600. Its totient is φ = 31431035750400.

The previous prime is 102111111010999. The next prime is 102111111011009. The reversal of 102111111011000 is 110111111201.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102111111011009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 481557002 + ... + 481768998.

It is an arithmetic number, because the mean of its divisors is an integer number (590329630800).

Almost surely, 2^{102111111011000} is an apocalyptic number.

102111111011000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102111111011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151124385484800).

102111111011000 is an abundant number, since it is smaller than the sum of its proper divisors (200137659958600).

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

102111111011000 is a wasteful number, since it uses less digits than its factorization.

102111111011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212184 (or 212170 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 102111111011000 its reverse (110111111201), we get a palindrome (102221222122201).

The spelling of 102111111011000 in words is "one hundred two trillion, one hundred eleven billion, one hundred eleven million, eleven thousand".