10011120010100 has 144 divisors (see below), whose sum is σ = 24094364112000. Its totient is φ = 3580167360000.

The previous prime is 10011120010091. The next prime is 10011120010109. The reversal of 10011120010100 is 101002111001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10011120010091) and next prime (10011120010109).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10011120010109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16251521 + ... + 16856279.

It is an arithmetic number, because the mean of its divisors is an integer number (167321973000).

Almost surely, 2^{10011120010100} is an apocalyptic number.

10011120010100 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 10011120010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12047182056000).

10011120010100 is an abundant number, since it is smaller than the sum of its proper divisors (14083244101900).

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

10011120010100 is a wasteful number, since it uses less digits than its factorization.

10011120010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605034 (or 605027 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 10011120010100 its reverse (101002111001), we get a palindrome (10112122121101).

The spelling of 10011120010100 in words is "ten trillion, eleven billion, one hundred twenty million, ten thousand, one hundred".