10611100120 has 128 divisors (see below), whose sum is σ = 26145322560. Its totient is φ = 3859824640.

The previous prime is 10611100111. The next prime is 10611100127. The reversal of 10611100120 is 2100111601.

It is a super-2 number, since 2×10611100120² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10611100120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10611100127) 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, 2981382 + ... + 2984938.

Almost surely, 2^10611100120 is an apocalyptic number.

10611100120 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 10611100120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13072661280).

10611100120 is an abundant number, since it is smaller than the sum of its proper divisors (15534222440).

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

10611100120 is a wasteful number, since it uses less digits than its factorization.

10611100120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3733 (or 3729 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 10611100120 its reverse (2100111601), we get a palindrome (12711211721).

The spelling of 10611100120 in words is "ten billion, six hundred eleven million, one hundred thousand, one hundred twenty".