101102220112201 has 16 divisors (see below), whose sum is σ = 126051494059008. Its totient is φ = 78779717686800.

The previous prime is 101102220112181. The next prime is 101102220112217. The reversal of 101102220112201 is 102211022201101.

It is a cyclic number.

It is not a de Polignac number, because 101102220112201 - 2¹⁹ = 101102219587913 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101102220112241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5308365 + ... + 15178378.

It is an arithmetic number, because the mean of its divisors is an integer number (7878218378688).

Almost surely, 2^{101102220112201} is an apocalyptic number.

101102220112201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101102220112201 is a deficient number, since it is larger than the sum of its proper divisors (24949273946807).

101102220112201 is a wasteful number, since it uses less digits than its factorization.

101102220112201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20550852.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 101102220112201 its reverse (102211022201101), we get a palindrome (203313242313302).

The spelling of 101102220112201 in words is "one hundred one trillion, one hundred two billion, two hundred twenty million, one hundred twelve thousand, two hundred one".