210002010021100 has 144 divisors (see below), whose sum is σ = 500659187011200. Its totient is φ = 75823455628800.

The previous prime is 210002010021073. The next prime is 210002010021107. The reversal of 210002010021100 is 1120010200012.

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

It is not an unprimeable number, because it can be changed into a prime (210002010021107) 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, 187527439 + ... + 188643961.

It is an arithmetic number, because the mean of its divisors is an integer number (3476799909800).

Almost surely, 2^{210002010021100} is an apocalyptic number.

210002010021100 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 210002010021100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250329593505600).

210002010021100 is an abundant number, since it is smaller than the sum of its proper divisors (290657176990100).

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

210002010021100 is a wasteful number, since it uses less digits than its factorization.

210002010021100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1117760 (or 1117753 counting only the distinct ones).

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

Adding to 210002010021100 its reverse (1120010200012), we get a palindrome (211122020221112).

The spelling of 210002010021100 in words is "two hundred ten trillion, two billion, ten million, twenty-one thousand, one hundred".