100201220100112 has 20 divisors (see below), whose sum is σ = 196478898451920. Its totient is φ = 49496988241568.

The previous prime is 100201220100097. The next prime is 100201220100127. The reversal of 100201220100112 is 211001022102001.

It is an interprime number because it is at equal distance from previous prime (100201220100097) and next prime (100201220100127).

It is a junction number, because it is equal to n+sod(n) for n = 100201220100092 and 100201220100101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 37726361662 + ... + 37726364317.

It is an arithmetic number, because the mean of its divisors is an integer number (9823944922596).

Almost surely, 2^{100201220100112} is an apocalyptic number.

It is an amenable number.

100201220100112 is a deficient number, since it is larger than the sum of its proper divisors (96277678351808).

100201220100112 is an equidigital number, since it uses as much as digits as its factorization.

100201220100112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75452726070 (or 75452726064 counting only the distinct ones).

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

Adding to 100201220100112 its reverse (211001022102001), we get a palindrome (311202242202113).

The spelling of 100201220100112 in words is "one hundred trillion, two hundred one billion, two hundred twenty million, one hundred thousand, one hundred twelve".