100201101001112 has 16 divisors (see below), whose sum is σ = 196045632393840. Its totient is φ = 47922265696096.

The previous prime is 100201101001087. The next prime is 100201101001123. The reversal of 100201101001112 is 211100101102001.

It is a junction number, because it is equal to n+sod(n) for n = 100201101001093 and 100201101001102.

It is a congruent number.

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, 272285600363 + ... + 272285600730.

It is an arithmetic number, because the mean of its divisors is an integer number (12252852024615).

Almost surely, 2^{100201101001112} is an apocalyptic number.

It is an amenable number.

100201101001112 is a deficient number, since it is larger than the sum of its proper divisors (95844531392728).

100201101001112 is a wasteful number, since it uses less digits than its factorization.

100201101001112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544571201122 (or 544571201118 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 100201101001112 its reverse (211100101102001), we get a palindrome (311301202103113).

The spelling of 100201101001112 in words is "one hundred trillion, two hundred one billion, one hundred one million, one thousand, one hundred twelve".