210101010100100 has 144 divisors (see below), whose sum is σ = 530456317956096. Its totient is φ = 70738142400000.

The previous prime is 210101010100063. The next prime is 210101010100109. The reversal of 210101010100100 is 1001010101012.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (210101010100109) 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, 22161725 + ... + 30188475.

Almost surely, 2^{210101010100100} is an apocalyptic number.

210101010100100 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 210101010100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265228158978048).

210101010100100 is an abundant number, since it is smaller than the sum of its proper divisors (320355307855996).

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

210101010100100 is a wasteful number, since it uses less digits than its factorization.

210101010100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8027446 (or 8027439 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 210101010100100 its reverse (1001010101012), we get a palindrome (211102020201112).

The spelling of 210101010100100 in words is "two hundred ten trillion, one hundred one billion, ten million, one hundred thousand, one hundred".