2210202010000 has 100 divisors (see below), whose sum is σ = 5351997759372. Its totient is φ = 883935808000.

The previous prime is 2210202009901. The next prime is 2210202010021. The reversal of 2210202010000 is 102020122.

It can be written as a sum of positive squares in 10 ways, for example, as 1307162329344 + 903039680656 = 1143312^2 + 950284^2 .

It is a tau number, because it is divible by the number of its divisors (100).

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 77555754 + ... + 77584246.

Almost surely, 2^{2210202010000} is an apocalyptic number.

2210202010000 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 2210202010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2675998879686).

2210202010000 is an abundant number, since it is smaller than the sum of its proper divisors (3141795749372).

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

2210202010000 is an equidigital number, since it uses as much as digits as its factorization.

2210202010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36278 (or 36257 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 2210202010000 its reverse (102020122), we get a palindrome (2210304030122).

The spelling of 2210202010000 in words is "two trillion, two hundred ten billion, two hundred two million, ten thousand".