201210210100 has 144 divisors (see below), whose sum is σ = 458596647936. Its totient is φ = 76546944000.

The previous prime is 201210210041. The next prime is 201210210133. The reversal of 201210210100 is 1012012102.

It is a super-2 number, since 2×201210210100² (a number of 23 digits) contains 22 as substring.

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

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 47 ways as a sum of consecutive naturals, for example, 52219774 + ... + 52223626.

It is an arithmetic number, because the mean of its divisors is an integer number (3184698944).

Almost surely, 2^201210210100 is an apocalyptic number.

201210210100 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 201210210100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229298323968).

201210210100 is an abundant number, since it is smaller than the sum of its proper divisors (257386437836).

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

201210210100 is a wasteful number, since it uses less digits than its factorization.

201210210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4226 (or 4219 counting only the distinct ones).

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

Adding to 201210210100 its reverse (1012012102), we get a palindrome (202222222202).

It can be divided in two parts, 2012102 and 10100, that added together give a palindrome (2022202).

The spelling of 201210210100 in words is "two hundred one billion, two hundred ten million, two hundred ten thousand, one hundred".