2210210010100 has 144 divisors (see below), whose sum is σ = 5017901056000. Its totient is φ = 844000560000.

The previous prime is 2210210010083. The next prime is 2210210010101. The reversal of 2210210010100 is 10100120122.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2210210010101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 342611875 + ... + 342618325.

Almost surely, 2^{2210210010100} is an apocalyptic number.

2210210010100 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 2210210010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2508950528000).

2210210010100 is an abundant number, since it is smaller than the sum of its proper divisors (2807691045900).

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

2210210010100 is a wasteful number, since it uses less digits than its factorization.

2210210010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7974 (or 7967 counting only the distinct ones).

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

Adding to 2210210010100 its reverse (10100120122), we get a palindrome (2220310130222).

The spelling of 2210210010100 in words is "two trillion, two hundred ten billion, two hundred ten million, ten thousand, one hundred".