11101003428424 has 192 divisors, whose sum is σ = 27638911465200. Its totient is φ = 4128796901376.

The previous prime is 11101003428413. The next prime is 11101003428433. The reversal of 11101003428424 is 42482430010111.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 3355190831524 + 7745812596900 = 1831718^2 + 2783130^2 .

It is a super-2 number, since 2×11101003428424² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 80412162 + ... + 80550094.

Almost surely, 2^{11101003428424} is an apocalyptic number.

11101003428424 is a gapful number since it is divisible by the number (14) 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 11101003428424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13819455732600).

11101003428424 is an abundant number, since it is smaller than the sum of its proper divisors (16537908036776).

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

11101003428424 is a wasteful number, since it uses less digits than its factorization.

11101003428424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138912 (or 138901 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

Adding to 11101003428424 its reverse (42482430010111), we get a palindrome (53583433438535).

The spelling of 11101003428424 in words is "eleven trillion, one hundred one billion, three million, four hundred twenty-eight thousand, four hundred twenty-four".