20110102110120 has 256 divisors, whose sum is σ = 66223998247680. Its totient is φ = 4844908339200.

The previous prime is 20110102110101. The next prime is 20110102110179. The reversal of 20110102110120 is 2101120101102.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 20110102110096 and 20110102110105.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 356679372 + ... + 356735748.

It is an arithmetic number, because the mean of its divisors is an integer number (258687493155).

Almost surely, 2^{20110102110120} is an apocalyptic number.

20110102110120 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 20110102110120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33111999123840).

20110102110120 is an abundant number, since it is smaller than the sum of its proper divisors (46113896137560).

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

20110102110120 is a wasteful number, since it uses less digits than its factorization.

20110102110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58076 (or 58072 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 20110102110120 its reverse (2101120101102), we get a palindrome (22211222211222).

The spelling of 20110102110120 in words is "twenty trillion, one hundred ten billion, one hundred two million, one hundred ten thousand, one hundred twenty".