1101001001056 has 96 divisors (see below), whose sum is σ = 2504469445632. Its totient is φ = 470880552960.

The previous prime is 1101001001047. The next prime is 1101001001057. The reversal of 1101001001056 is 6501001001011.

It is a super-2 number, since 2×1101001001056² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1101001001057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22277685 + ... + 22327051.

It is an arithmetic number, because the mean of its divisors is an integer number (26088223392).

Almost surely, 2^{1101001001056} is an apocalyptic number.

1101001001056 is a gapful number since it is divisible by the number (16) 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 1101001001056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1252234722816).

1101001001056 is an abundant number, since it is smaller than the sum of its proper divisors (1403468444576).

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

1101001001056 is a wasteful number, since it uses less digits than its factorization.

1101001001056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53132 (or 53124 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 16.

Adding to 1101001001056 its reverse (6501001001011), we get a palindrome (7602002002067).

The spelling of 1101001001056 in words is "one trillion, one hundred one billion, one million, one thousand, fifty-six".