2210020100000 has 288 divisors, whose sum is σ = 5515086355632. Its totient is φ = 871628800000.

The previous prime is 2210020099909. The next prime is 2210020100003. The reversal of 2210020100000 is 10200122.

It can be written as a sum of positive squares in 24 ways, for example, as 2199894105616 + 10125994384 = 1483204^2 + 100628^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (2210020100003) 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, 2904099620 + ... + 2904100380.

Almost surely, 2^{2210020100000} is an apocalyptic number.

2210020100000 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 2210020100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2757543177816).

2210020100000 is an abundant number, since it is smaller than the sum of its proper divisors (3305066255632).

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

2210020100000 is an equidigital number, since it uses as much as digits as its factorization.

2210020100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1166 (or 1138 counting only the distinct ones).

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

Adding to 2210020100000 its reverse (10200122), we get a palindrome (2210030300122).

The spelling of 2210020100000 in words is "two trillion, two hundred ten billion, twenty million, one hundred thousand".