11120012100 has 180 divisors, whose sum is σ = 36420874644. Its totient is φ = 2934558720.

The previous prime is 11120012053. The next prime is 11120012179. The reversal of 11120012100 is 121002111.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 563682564 + 10556329536 = 23742^2 + 102744^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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 59 ways as a sum of consecutive naturals, for example, 778624 + ... + 792776.

Almost surely, 2^11120012100 is an apocalyptic number.

11120012100 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 11120012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18210437322).

11120012100 is an abundant number, since it is smaller than the sum of its proper divisors (25300862544).

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

11120012100 is a wasteful number, since it uses less digits than its factorization.

11120012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14276 (or 14260 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 11120012100 its reverse (121002111), we get a palindrome (11241014211).

The spelling of 11120012100 in words is "eleven billion, one hundred twenty million, twelve thousand, one hundred".