11001001001970 has 192 divisors, whose sum is σ = 32137653104640. Its totient is φ = 2398485462912.

The previous prime is 11001001001941. The next prime is 11001001001971. The reversal of 11001001001970 is 7910010010011.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (11001001001971) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11684619 + ... + 12590961.

It is an arithmetic number, because the mean of its divisors is an integer number (167383609920).

Almost surely, 2^{11001001001970} is an apocalyptic number.

11001001001970 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11001001001970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16068826552320).

11001001001970 is an abundant number, since it is smaller than the sum of its proper divisors (21136652102670).

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

11001001001970 is a wasteful number, since it uses less digits than its factorization.

11001001001970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 906749 (or 906742 counting only the distinct ones).

The product of its (nonzero) digits is 63, while the sum is 21.

Adding to 11001001001970 its reverse (7910010010011), we get a palindrome (18911011011981).

The spelling of 11001001001970 in words is "eleven trillion, one billion, one million, one thousand, nine hundred seventy".