11111210012100 has 288 divisors, whose sum is σ = 36028989997056. Its totient is φ = 2620090713600.

The previous prime is 11111210012087. The next prime is 11111210012153. The reversal of 11111210012100 is 121001211111.

11111210012100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 522943677 + ... + 522964923.

It is an arithmetic number, because the mean of its divisors is an integer number (125100659712).

Almost surely, 2^{11111210012100} is an apocalyptic number.

11111210012100 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 11111210012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18014494998528).

11111210012100 is an abundant number, since it is smaller than the sum of its proper divisors (24917779984956).

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

11111210012100 is a wasteful number, since it uses less digits than its factorization.

11111210012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25595 (or 25588 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 11111210012100 its reverse (121001211111), we get a palindrome (11232211223211).

It can be divided in two parts, 11 and 111210012100, that added together give a palindrome (111210012111).

The spelling of 11111210012100 in words is "eleven trillion, one hundred eleven billion, two hundred ten million, twelve thousand, one hundred".