2021002220100 has 216 divisors, whose sum is σ = 6174305131680. Its totient is φ = 510327912960.

The previous prime is 2021002220099. The next prime is 2021002220101. The reversal of 2021002220100 is 10222001202.

It is an interprime number because it is at equal distance from previous prime (2021002220099) and next prime (2021002220101).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (2021002220101) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 383271064 + ... + 383276336.

It is an arithmetic number, because the mean of its divisors is an integer number (28584745980).

Almost surely, 2^{2021002220100} is an apocalyptic number.

2021002220100 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 2021002220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3087152565840).

2021002220100 is an abundant number, since it is smaller than the sum of its proper divisors (4153302911580).

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

2021002220100 is a wasteful number, since it uses less digits than its factorization.

2021002220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8867 (or 8841 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 2021002220100 its reverse (10222001202), we get a palindrome (2031224221302).

The spelling of 2021002220100 in words is "two trillion, twenty-one billion, two million, two hundred twenty thousand, one hundred".