20100200211120 has 160 divisors (see below), whose sum is σ = 62816379494400. Its totient is φ = 5316708142080.

The previous prime is 20100200211101. The next prime is 20100200211121. The reversal of 20100200211120 is 2111200200102.

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 = 20100200211096 and 20100200211105.

It is not an unprimeable number, because it can be changed into a prime (20100200211121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15369957 + ... + 16626363.

It is an arithmetic number, because the mean of its divisors is an integer number (392602371840).

Almost surely, 2^{20100200211120} is an apocalyptic number.

20100200211120 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 20100200211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31408189747200).

20100200211120 is an abundant number, since it is smaller than the sum of its proper divisors (42716179283280).

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

20100200211120 is a wasteful number, since it uses less digits than its factorization.

20100200211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1256963 (or 1256957 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 20100200211120 its reverse (2111200200102), we get a palindrome (22211400411222).

The spelling of 20100200211120 in words is "twenty trillion, one hundred billion, two hundred million, two hundred eleven thousand, one hundred twenty".