100201111102210 has 64 divisors (see below), whose sum is σ = 193575845710080. Its totient is φ = 37230652926720.

The previous prime is 100201111102193. The next prime is 100201111102217. The reversal of 100201111102210 is 12201111102001.

It is a happy number.

It is a super-2 number, since 2×100201111102210² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100201111102217) 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 31 ways as a sum of consecutive naturals, for example, 9962374 + ... + 17310433.

It is an arithmetic number, because the mean of its divisors is an integer number (3024622589220).

Almost surely, 2^{100201111102210} is an apocalyptic number.

100201111102210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100201111102210 is a deficient number, since it is larger than the sum of its proper divisors (93374734607870).

100201111102210 is a wasteful number, since it uses less digits than its factorization.

100201111102210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27273211.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 100201111102210 its reverse (12201111102001), we get a palindrome (112402222204211).

The spelling of 100201111102210 in words is "one hundred trillion, two hundred one billion, one hundred eleven million, one hundred two thousand, two hundred ten".