10100100011120 has 160 divisors (see below), whose sum is σ = 27388471358976. Its totient is φ = 3392357760000.

The previous prime is 10100100011119. The next prime is 10100100011129. The reversal of 10100100011120 is 2111000100101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 10100100011098 and 10100100011107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100100011129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6047495 + ... + 7534745.

Almost surely, 2^{10100100011120} is an apocalyptic number.

10100100011120 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 10100100011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13694235679488).

10100100011120 is an abundant number, since it is smaller than the sum of its proper divisors (17288371347856).

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

10100100011120 is a wasteful number, since it uses less digits than its factorization.

10100100011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1487519 (or 1487513 counting only the distinct ones).

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

Adding to 10100100011120 its reverse (2111000100101), we get a palindrome (12211100111221).

The spelling of 10100100011120 in words is "ten trillion, one hundred billion, one hundred million, eleven thousand, one hundred twenty".