100201122012110 has 48 divisors (see below), whose sum is σ = 209900382051456. Its totient is φ = 34339687607232.

The previous prime is 100201122012037. The next prime is 100201122012113. The reversal of 100201122012110 is 11210221102001.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100201122012113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43466942 + ... + 45714081.

It is an arithmetic number, because the mean of its divisors is an integer number (4372924626072).

Almost surely, 2^{100201122012110} is an apocalyptic number.

100201122012110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100201122012110 is an abundant number, since it is smaller than the sum of its proper divisors (109699260039346).

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

100201122012110 is a wasteful number, since it uses less digits than its factorization.

100201122012110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89183337 (or 89183330 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 100201122012110 its reverse (11210221102001), we get a palindrome (111411343114111).

The spelling of 100201122012110 in words is "one hundred trillion, two hundred one billion, one hundred twenty-two million, twelve thousand, one hundred ten".