11012100 has 144 divisors (see below), whose sum is σ = 35997696. Its totient is φ = 2576000.

The previous prime is 11012093. The next prime is 11012129. The reversal of 11012100 is 121011.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 155065 + ... + 155135.

It is an arithmetic number, because the mean of its divisors is an integer number (249984).

Almost surely, 2^11012100 is an apocalyptic number.

11012100 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 11012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17998848).

11012100 is an abundant number, since it is smaller than the sum of its proper divisors (24985596).

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

11012100 is a wasteful number, since it uses less digits than its factorization.

11012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

The square root of 11012100 is about 3318.4484326263. The cubic root of 11012100 is about 222.4795251117.

Adding to 11012100 its reverse (121011), we get a palindrome (11133111).

It can be divided in two parts, 110 and 12100, that multiplied together give a cube (1331000 = 110³).

The spelling of 11012100 in words is "eleven million, twelve thousand, one hundred".