210101010022100 has 288 divisors, whose sum is σ = 508222535009280. Its totient is φ = 75026308008960.

The previous prime is 210101010022097. The next prime is 210101010022139. The reversal of 210101010022100 is 1220010101012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2816821007 + ... + 2816895593.

Almost surely, 2^{210101010022100} is an apocalyptic number.

210101010022100 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 210101010022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254111267504640).

210101010022100 is an abundant number, since it is smaller than the sum of its proper divisors (298121524987180).

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

210101010022100 is a wasteful number, since it uses less digits than its factorization.

210101010022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75599 (or 75592 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 210101010022100 its reverse (1220010101012), we get a palindrome (211321020123112).

The spelling of 210101010022100 in words is "two hundred ten trillion, one hundred one billion, ten million, twenty-two thousand, one hundred".