20101122101201 has 8 divisors (see below), whose sum is σ = 21486671345664. Its totient is φ = 18758205141280.

The previous prime is 20101122101183. The next prime is 20101122101237. The reversal of 20101122101201 is 10210122110102.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 20101122101201 - 2¹⁰ = 20101122100177 is a prime.

It is a super-3 number, since 3×20101122101201³ (a number of 41 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20101122101701) 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 7 ways as a sum of consecutive naturals, for example, 10658070161 + ... + 10658072046.

It is an arithmetic number, because the mean of its divisors is an integer number (2685833918208).

Almost surely, 2^{20101122101201} is an apocalyptic number.

It is an amenable number.

20101122101201 is a deficient number, since it is larger than the sum of its proper divisors (1385549244463).

20101122101201 is a wasteful number, since it uses less digits than its factorization.

20101122101201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21316142271.

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

Adding to 20101122101201 its reverse (10210122110102), we get a palindrome (30311244211303).

The spelling of 20101122101201 in words is "twenty trillion, one hundred one billion, one hundred twenty-two million, one hundred one thousand, two hundred one".