101100201212200 has 96 divisors (see below), whose sum is σ = 244319452241760. Its totient is φ = 38873043590400.

The previous prime is 101100201212173. The next prime is 101100201212203. The reversal of 101100201212200 is 2212102001101.

It is not an unprimeable number, because it can be changed into a prime (101100201212203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81688146 + ... + 82916545.

It is an arithmetic number, because the mean of its divisors is an integer number (2544994294185).

Almost surely, 2^{101100201212200} is an apocalyptic number.

101100201212200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101100201212200 is an abundant number, since it is smaller than the sum of its proper divisors (143219251029560).

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

101100201212200 is a wasteful number, since it uses less digits than its factorization.

101100201212200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164604827 (or 164604818 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 101100201212200 its reverse (2212102001101), we get a palindrome (103312303213301).

The spelling of 101100201212200 in words is "one hundred one trillion, one hundred billion, two hundred one million, two hundred twelve thousand, two hundred".