100112010110201 has 2 divisors, whose sum is σ = 100112010110202. Its totient is φ = 100112010110200.

The previous prime is 100112010110197. The next prime is 100112010110221. The reversal of 100112010110201 is 102011010211001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 75855390250000 + 24256619860201 = 8709500^2 + 4925101^2 .

It is a cyclic number.

It is not a de Polignac number, because 100112010110201 - 2² = 100112010110197 is a prime.

It is not a weakly prime, because it can be changed into another prime (100112010110221) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50056005055100 + 50056005055101.

It is an arithmetic number, because the mean of its divisors is an integer number (50056005055101).

Almost surely, 2^{100112010110201} is an apocalyptic number.

It is an amenable number.

100112010110201 is a deficient number, since it is larger than the sum of its proper divisors (1).

100112010110201 is an equidigital number, since it uses as much as digits as its factorization.

100112010110201 is an evil number, because the sum of its binary digits is even.

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

Adding to 100112010110201 its reverse (102011010211001), we get a palindrome (202123020321202).

The spelling of 100112010110201 in words is "one hundred trillion, one hundred twelve billion, ten million, one hundred ten thousand, two hundred one".