20911101120 has 672 divisors, whose sum is σ = 89818415232. Its totient is φ = 4347592704.

The previous prime is 20911101109. The next prime is 20911101131. The reversal of 20911101120 is 2110111902.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20911101109) and next prime (20911101131).

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20911101093 and 20911101102.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19131294 + ... + 19132386.

It is an arithmetic number, because the mean of its divisors is an integer number (133658356).

Almost surely, 2^20911101120 is an apocalyptic number.

20911101120 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 20911101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44909207616).

20911101120 is an abundant number, since it is smaller than the sum of its proper divisors (68907314112).

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

20911101120 is a wasteful number, since it uses less digits than its factorization.

20911101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1209 (or 1196 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

The spelling of 20911101120 in words is "twenty billion, nine hundred eleven million, one hundred one thousand, one hundred twenty".