100201120210200 has 96 divisors (see below), whose sum is σ = 310762209945600. Its totient is φ = 26708364332160.

The previous prime is 100201120210171. The next prime is 100201120210207. The reversal of 100201120210200 is 2012021102001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100201120210207) 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, 35950452 + ... + 38637251.

It is an arithmetic number, because the mean of its divisors is an integer number (3237106353600).

Almost surely, 2^{100201120210200} is an apocalyptic number.

100201120210200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100201120210200 is an abundant number, since it is smaller than the sum of its proper divisors (210561089735400).

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

100201120210200 is a wasteful number, since it uses less digits than its factorization.

100201120210200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74589961 (or 74589952 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100201120210200 its reverse (2012021102001), we get a palindrome (102213141312201).

The spelling of 100201120210200 in words is "one hundred trillion, two hundred one billion, one hundred twenty million, two hundred ten thousand, two hundred".