210101210100 has 180 divisors, whose sum is σ = 681783800544. Its totient is φ = 55967872320.

The previous prime is 210101210063. The next prime is 210101210117. The reversal of 210101210100 is 1012101012.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 7949107 + ... + 7975493.

Almost surely, 2^210101210100 is an apocalyptic number.

210101210100 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 210101210100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340891900272).

210101210100 is an abundant number, since it is smaller than the sum of its proper divisors (471682590444).

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

210101210100 is a wasteful number, since it uses less digits than its factorization.

210101210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27396 (or 27380 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 210101210100 its reverse (1012101012), we get a palindrome (211113311112).

It can be divided in two parts, 2101012 and 10100, that added together give a palindrome (2111112).

The spelling of 210101210100 in words is "two hundred ten billion, one hundred one million, two hundred ten thousand, one hundred".