21112101112201 has 6 divisors (see below), whose sum is σ = 23205863206106. Its totient is φ = 19192819192800.

The previous prime is 21112101112199. The next prime is 21112101112211. The reversal of 21112101112201 is 10221110121112.

It can be written as a sum of positive squares in only one way, i.e., 11786553254025 + 9325547858176 = 3433155^2 + 3053776^2 .

It is not a de Polignac number, because 21112101112201 - 2¹ = 21112101112199 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21112101112211) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 87240087120 + ... + 87240087361.

Almost surely, 2^{21112101112201} is an apocalyptic number.

It is an amenable number.

21112101112201 is a deficient number, since it is larger than the sum of its proper divisors (2093762093905).

21112101112201 is a wasteful number, since it uses less digits than its factorization.

21112101112201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174480174503 (or 174480174492 counting only the distinct ones).

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

Adding to 21112101112201 its reverse (10221110121112), we get a palindrome (31333211233313).

The spelling of 21112101112201 in words is "twenty-one trillion, one hundred twelve billion, one hundred one million, one hundred twelve thousand, two hundred one".