20110010211120 has 160 divisors (see below), whose sum is σ = 63180777600000. Its totient is φ = 5290542047232.

The previous prime is 20110010211119. The next prime is 20110010211133. The reversal of 20110010211120 is 2111201001102.

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 = 20110010211096 and 20110010211105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23256439 + ... + 24105641.

It is an arithmetic number, because the mean of its divisors is an integer number (394879860000).

Almost surely, 2^{20110010211120} is an apocalyptic number.

20110010211120 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 20110010211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31590388800000).

20110010211120 is an abundant number, since it is smaller than the sum of its proper divisors (43070767388880).

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

20110010211120 is a wasteful number, since it uses less digits than its factorization.

20110010211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850547 (or 850541 counting only the distinct ones).

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

Adding to 20110010211120 its reverse (2111201001102), we get a palindrome (22221211212222).

The spelling of 20110010211120 in words is "twenty trillion, one hundred ten billion, ten million, two hundred eleven thousand, one hundred twenty".