20110211010120 has 1024 divisors, whose sum is σ = 79761604608000. Its totient is φ = 3932638617600.

The previous prime is 20110211010101. The next prime is 20110211010133. The reversal of 20110211010120 is 2101011201102.

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 = 20110211010096 and 20110211010105.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3990910561 + ... + 3990915599.

It is an arithmetic number, because the mean of its divisors is an integer number (77892192000).

Almost surely, 2^{20110211010120} is an apocalyptic number.

20110211010120 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 20110211010120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39880802304000).

20110211010120 is an abundant number, since it is smaller than the sum of its proper divisors (59651393597880).

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

20110211010120 is a wasteful number, since it uses less digits than its factorization.

20110211010120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5394 (or 5390 counting only the distinct ones).

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

Adding to 20110211010120 its reverse (2101011201102), we get a palindrome (22211222211222).

The spelling of 20110211010120 in words is "twenty trillion, one hundred ten billion, two hundred eleven million, ten thousand, one hundred twenty".