20101110120 has 384 divisors, whose sum is σ = 82924473600. Its totient is φ = 4240843776.

The previous prime is 20101110109. The next prime is 20101110121. The reversal of 20101110120 is 2101110102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (20101110121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1269774 + ... + 1285506.

It is an arithmetic number, because the mean of its divisors is an integer number (215949150).

Almost surely, 2^20101110120 is an apocalyptic number.

20101110120 is a gapful number since it is divisible by the number (20) 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 20101110120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41462236800).

20101110120 is an abundant number, since it is smaller than the sum of its proper divisors (62823363480).

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

20101110120 is a wasteful number, since it uses less digits than its factorization.

20101110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15786 (or 15763 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 20101110120 its reverse (2101110102), we get a palindrome (22202220222).

The spelling of 20101110120 in words is "twenty billion, one hundred one million, one hundred ten thousand, one hundred twenty".