100211112112201 has 2 divisors, whose sum is σ = 100211112112202. Its totient is φ = 100211112112200.

The previous prime is 100211112112169. The next prime is 100211112112217. The reversal of 100211112112201 is 102211211112001.

It is an a-pointer prime, because the next prime (100211112112217) can be obtained adding 100211112112201 to its sum of digits (16).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 50718269048976 + 49492843063225 = 7121676^2 + 7035115^2 .

It is an emirp because it is prime and its reverse (102211211112001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100211112112201 - 2⁵ = 100211112112169 is a prime.

It is a super-2 number, since 2×100211112112201² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100211112112261) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50105556056100 + 50105556056101.

It is an arithmetic number, because the mean of its divisors is an integer number (50105556056101).

Almost surely, 2^{100211112112201} is an apocalyptic number.

It is an amenable number.

100211112112201 is a deficient number, since it is larger than the sum of its proper divisors (1).

100211112112201 is an equidigital number, since it uses as much as digits as its factorization.

100211112112201 is an evil number, because the sum of its binary digits is even.

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

Adding to 100211112112201 its reverse (102211211112001), we get a palindrome (202422323224202).

The spelling of 100211112112201 in words is "one hundred trillion, two hundred eleven billion, one hundred twelve million, one hundred twelve thousand, two hundred one".