1001011101000 has 128 divisors (see below), whose sum is σ = 3154077912960. Its totient is φ = 264293280000.

The previous prime is 1001011100909. The next prime is 1001011101011. The reversal of 1001011101000 is 1011101001.

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 1001011101000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1348834 + ... + 1954833.

It is an arithmetic number, because the mean of its divisors is an integer number (24641233695).

Almost surely, 2^{1001011101000} is an apocalyptic number.

1001011101000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001011101000 is an abundant number, since it is smaller than the sum of its proper divisors (2153066811960).

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

1001011101000 is a wasteful number, since it uses less digits than its factorization.

1001011101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3303792 (or 3303778 counting only the distinct ones).

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

Adding to 1001011101000 its reverse (1011101001), we get a palindrome (1002022202001).

Subtracting from 1001011101000 its reverse (1011101001), we obtain a palindrome (999999999999).

It can be divided in two parts, 1001011 and 101000, that added together give a palindrome (1102011).

The spelling of 1001011101000 in words is "one trillion, one billion, eleven million, one hundred one thousand".