20011100120 has 64 divisors (see below), whose sum is σ = 49185066240. Its totient is φ = 7266851200.

The previous prime is 20011100077. The next prime is 20011100141. The reversal of 20011100120 is 2100111002.

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 = 20011100098 and 20011100107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 296315 + ... + 357525.

It is an arithmetic number, because the mean of its divisors is an integer number (768516660).

Almost surely, 2^20011100120 is an apocalyptic number.

20011100120 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 20011100120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24592533120).

20011100120 is an abundant number, since it is smaller than the sum of its proper divisors (29173966120).

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

20011100120 is a wasteful number, since it uses less digits than its factorization.

20011100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61976 (or 61972 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 20011100120 its reverse (2100111002), we get a palindrome (22111211122).

The spelling of 20011100120 in words is "twenty billion, eleven million, one hundred thousand, one hundred twenty".