11010121040100 has 288 divisors, whose sum is σ = 39244310425600. Its totient is φ = 2320823093760.

The previous prime is 11010121040021. The next prime is 11010121040111. The reversal of 11010121040100 is 104012101011.

It is a super-3 number, since 3×11010121040100³ (a number of 40 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28830201 + ... + 29209599.

Almost surely, 2^{11010121040100} is an apocalyptic number.

11010121040100 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 11010121040100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19622155212800).

11010121040100 is an abundant number, since it is smaller than the sum of its proper divisors (28234189385500).

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

11010121040100 is a wasteful number, since it uses less digits than its factorization.

11010121040100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380499 (or 380492 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11010121040100 its reverse (104012101011), we get a palindrome (11114133141111).

The spelling of 11010121040100 in words is "eleven trillion, ten billion, one hundred twenty-one million, forty thousand, one hundred".