100101122210201 has 32 divisors (see below), whose sum is σ = 115368236928000. Its totient is φ = 85077790433280.

The previous prime is 100101122210191. The next prime is 100101122210227. The reversal of 100101122210201 is 102012221101001.

It is a cyclic number.

It is not a de Polignac number, because 100101122210201 - 2¹⁸ = 100101121948057 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100101122215201) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4446753536 + ... + 4446776046.

It is an arithmetic number, because the mean of its divisors is an integer number (3605257404000).

Almost surely, 2^{100101122210201} is an apocalyptic number.

It is an amenable number.

100101122210201 is a deficient number, since it is larger than the sum of its proper divisors (15267114717799).

100101122210201 is a wasteful number, since it uses less digits than its factorization.

100101122210201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29849.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 100101122210201 its reverse (102012221101001), we get a palindrome (202113343311202).

The spelling of 100101122210201 in words is "one hundred trillion, one hundred one billion, one hundred twenty-two million, two hundred ten thousand, two hundred one".