1011100101000 has 256 divisors, whose sum is σ = 3453695781120. Its totient is φ = 244240640000.

The previous prime is 1011100100987. The next prime is 1011100101007. The reversal of 1011100101000 is 1010011101.

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 1011100101000.

It is not an unprimeable number, because it can be changed into a prime (1011100101007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9218482 + ... + 9327518.

It is an arithmetic number, because the mean of its divisors is an integer number (13490999145).

Almost surely, 2^{1011100101000} is an apocalyptic number.

1011100101000 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 1011100101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1726847890560).

1011100101000 is an abundant number, since it is smaller than the sum of its proper divisors (2442595680120).

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

1011100101000 is a wasteful number, since it uses less digits than its factorization.

1011100101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109353 (or 109339 counting only the distinct ones).

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

Adding to 1011100101000 its reverse (1010011101), we get a palindrome (1012110112101).

The spelling of 1011100101000 in words is "one trillion, eleven billion, one hundred million, one hundred one thousand".