2121000110020 has 96 divisors (see below), whose sum is σ = 4942539907200. Its totient is φ = 758066749440.

The previous prime is 2121000110017. The next prime is 2121000110023. The reversal of 2121000110020 is 200110001212.

It is an interprime number because it is at equal distance from previous prime (2121000110017) and next prime (2121000110023).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 2121000109979 and 2121000110006.

It is not an unprimeable number, because it can be changed into a prime (2121000110023) 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, 6458022 + ... + 6778498.

It is an arithmetic number, because the mean of its divisors is an integer number (51484790700).

Almost surely, 2^{2121000110020} is an apocalyptic number.

2121000110020 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 2121000110020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2471269953600).

2121000110020 is an abundant number, since it is smaller than the sum of its proper divisors (2821539797180).

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

2121000110020 is a wasteful number, since it uses less digits than its factorization.

2121000110020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321013 (or 321011 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 2121000110020 its reverse (200110001212), we get a palindrome (2321110111232).

The spelling of 2121000110020 in words is "two trillion, one hundred twenty-one billion, one hundred ten thousand, twenty".