11111010010100 has 1152 divisors, whose sum is σ = 33984224870400. Its totient is φ = 3042800640000.

The previous prime is 11111010010097. The next prime is 11111010010189. The reversal of 11111010010100 is 101001011111.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 31836704726 + ... + 31836705074.

It is an arithmetic number, because the mean of its divisors is an integer number (29500195200).

Almost surely, 2^{11111010010100} is an apocalyptic number.

11111010010100 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 11111010010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16992112435200).

11111010010100 is an abundant number, since it is smaller than the sum of its proper divisors (22873214860300).

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

11111010010100 is a wasteful number, since it uses less digits than its factorization.

11111010010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 609 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 11111010010100 its reverse (101001011111), we get a palindrome (11212011021211).

It can be divided in two parts, 11 and 111010010100, that added together give a palindrome (111010010111).

The spelling of 11111010010100 in words is "eleven trillion, one hundred eleven billion, ten million, ten thousand, one hundred".