2021100101020 has 384 divisors, whose sum is σ = 5758621747200. Its totient is φ = 580194109440.

The previous prime is 2021100101017. The next prime is 2021100101021. The reversal of 2021100101020 is 201010011202.

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 = 2021100100988 and 2021100101006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2021100101021) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1790167816 + ... + 1790168944.

It is an arithmetic number, because the mean of its divisors is an integer number (14996410800).

Almost surely, 2^{2021100101020} is an apocalyptic number.

2021100101020 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 2021100101020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2879310873600).

2021100101020 is an abundant number, since it is smaller than the sum of its proper divisors (3737521646180).

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

2021100101020 is a wasteful number, since it uses less digits than its factorization.

2021100101020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1930 (or 1906 counting only the distinct ones).

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

Adding to 2021100101020 its reverse (201010011202), we get a palindrome (2222110112222).

The spelling of 2021100101020 in words is "two trillion, twenty-one billion, one hundred million, one hundred one thousand, twenty".