100201202200100 has 72 divisors (see below), whose sum is σ = 226933775808768. Its totient is φ = 38330517702400.

The previous prime is 100201202200049. The next prime is 100201202200103. The reversal of 100201202200100 is 1002202102001.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (100201202200103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7867112 + ... + 16195488.

It is an arithmetic number, because the mean of its divisors is an integer number (3151857997344).

Almost surely, 2^{100201202200100} is an apocalyptic number.

100201202200100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100201202200100 is an abundant number, since it is smaller than the sum of its proper divisors (126732573608668).

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

100201202200100 is a wasteful number, since it uses less digits than its factorization.

100201202200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8333645 (or 8333638 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 100201202200100 its reverse (1002202102001), we get a palindrome (101203404302101).

The spelling of 100201202200100 in words is "one hundred trillion, two hundred one billion, two hundred two million, two hundred thousand, one hundred".