1110010101000 has 256 divisors, whose sum is σ = 3571092645120. Its totient is φ = 286848000000.

The previous prime is 1110010100999. The next prime is 1110010101113. The reversal of 1110010101000 is 1010100111.

It is a Harshad number since it is a multiple of its sum of digits (6).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1110010101000.

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 63 ways as a sum of consecutive naturals, for example, 27841080 + ... + 27880920.

It is an arithmetic number, because the mean of its divisors is an integer number (13949580645).

Almost surely, 2^{1110010101000} is an apocalyptic number.

1110010101000 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 1110010101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1785546322560).

1110010101000 is an abundant number, since it is smaller than the sum of its proper divisors (2461082544120).

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

1110010101000 is a wasteful number, since it uses less digits than its factorization.

1110010101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40153 (or 40139 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 1110010101000 its reverse (1010100111), we get a palindrome (1111020201111).

The spelling of 1110010101000 in words is "one trillion, one hundred ten billion, ten million, one hundred one thousand".