11302101000 has 384 divisors, whose sum is σ = 39632392800. Its totient is φ = 2903040000.

The previous prime is 11302100989. The next prime is 11302101043. The reversal of 11302101000 is 10120311.

It can be written as a sum of positive squares in 16 ways, for example, as 1011621636 + 10290479364 = 31806^2 + 101442^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 40220860 + ... + 40221140.

Almost surely, 2^11302101000 is an apocalyptic number.

11302101000 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 11302101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19816196400).

11302101000 is an abundant number, since it is smaller than the sum of its proper divisors (28330291800).

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

11302101000 is a wasteful number, since it uses less digits than its factorization.

11302101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 11302101000 its reverse (10120311), we get a palindrome (11312221311).

The spelling of 11302101000 in words is "eleven billion, three hundred two million, one hundred one thousand".