11032010100 has 108 divisors (see below), whose sum is σ = 34599722976. Its totient is φ = 2940125760.

The previous prime is 11032010051. The next prime is 11032010149. The reversal of 11032010100 is 101023011.

11032010100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11032010051) and next prime (11032010149).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2394399 + ... + 2399001.

Almost surely, 2^11032010100 is an apocalyptic number.

11032010100 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 11032010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17299861488).

11032010100 is an abundant number, since it is smaller than the sum of its proper divisors (23567712876).

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

11032010100 is a wasteful number, since it uses less digits than its factorization.

11032010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7286 (or 7276 counting only the distinct ones).

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

Adding to 11032010100 its reverse (101023011), we get a palindrome (11133033111).

The spelling of 11032010100 in words is "eleven billion, thirty-two million, ten thousand, one hundred".