11001005100 has 108 divisors (see below), whose sum is σ = 34954604776. Its totient is φ = 2893397760.

The previous prime is 11001005089. The next prime is 11001005117. The reversal of 11001005100 is 150010011.

It is a super-2 number, since 2×11001005100² (a number of 21 digits) contains 22 as substring.

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 35 ways as a sum of consecutive naturals, for example, 18022 + ... + 149421.

Almost surely, 2^11001005100 is an apocalyptic number.

11001005100 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 11001005100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17477302388).

11001005100 is an abundant number, since it is smaller than the sum of its proper divisors (23953599676).

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

11001005100 is a wasteful number, since it uses less digits than its factorization.

11001005100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167536 (or 167526 counting only the distinct ones).

The product of its (nonzero) digits is 5, while the sum is 9.

Adding to 11001005100 its reverse (150010011), we get a palindrome (11151015111).

The spelling of 11001005100 in words is "eleven billion, one million, five thousand, one hundred".