200101101010100 has 36 divisors (see below), whose sum is σ = 434220588666144. Its totient is φ = 80040219302880.

The previous prime is 200101101010087. The next prime is 200101101010147. The reversal of 200101101010100 is 1010101101002.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36375659 + ... + 41513741.

It is an arithmetic number, because the mean of its divisors is an integer number (12061683018504).

Almost surely, 2^{200101101010100} is an apocalyptic number.

200101101010100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200101101010100 is an abundant number, since it is smaller than the sum of its proper divisors (234119487656044).

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

200101101010100 is a wasteful number, since it uses less digits than its factorization.

200101101010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5527544 (or 5527537 counting only the distinct ones).

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

Adding to 200101101010100 its reverse (1010101101002), we get a palindrome (201111202111102).

The spelling of 200101101010100 in words is "two hundred trillion, one hundred one billion, one hundred one million, ten thousand, one hundred".