20101122021201 has 16 divisors (see below), whose sum is σ = 29187454625280. Its totient is φ = 12230933362560.

The previous prime is 20101122021151. The next prime is 20101122021257. The reversal of 20101122021201 is 10212022110102.

It is not a de Polignac number, because 20101122021201 - 2⁹ = 20101122020689 is a prime.

It is a super-2 number, since 2×20101122021201² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20101122021601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2895577345 + ... + 2895584286.

It is an arithmetic number, because the mean of its divisors is an integer number (1824215914080).

Almost surely, 2^{20101122021201} is an apocalyptic number.

It is an amenable number.

20101122021201 is a deficient number, since it is larger than the sum of its proper divisors (9086332604079).

20101122021201 is a wasteful number, since it uses less digits than its factorization.

20101122021201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5791161736.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 20101122021201 its reverse (10212022110102), we get a palindrome (30313144131303).

The spelling of 20101122021201 in words is "twenty trillion, one hundred one billion, one hundred twenty-two million, twenty-one thousand, two hundred one".