2210100001020 has 576 divisors, whose sum is σ = 7246994227200. Its totient is φ = 544128399360.

The previous prime is 2210100000959. The next prime is 2210100001033. The reversal of 2210100001020 is 201000010122.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 2210100000993 and 2210100001011.

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 2919550482 + ... + 2919551238.

It is an arithmetic number, because the mean of its divisors is an integer number (12581587200).

Almost surely, 2^{2210100001020} is an apocalyptic number.

2210100001020 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 2210100001020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3623497113600).

2210100001020 is an abundant number, since it is smaller than the sum of its proper divisors (5036894226180).

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

2210100001020 is a wasteful number, since it uses less digits than its factorization.

2210100001020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1098 (or 1093 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 2210100001020 its reverse (201000010122), we get a palindrome (2411100011142).

The spelling of 2210100001020 in words is "two trillion, two hundred ten billion, one hundred million, one thousand, twenty".