101122012020201 has 16 divisors (see below), whose sum is σ = 135159452684928. Its totient is φ = 67249798704000.

The previous prime is 101122012020179. The next prime is 101122012020209. The reversal of 101122012020201 is 102020210221101.

It is not a de Polignac number, because 101122012020201 - 2¹³ = 101122012012009 is a prime.

It is a super-3 number, since 3×101122012020201³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (101122012020209) 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, 19657405 + ... + 24262266.

It is an arithmetic number, because the mean of its divisors is an integer number (8447465792808).

Almost surely, 2^{101122012020201} is an apocalyptic number.

It is an amenable number.

101122012020201 is a deficient number, since it is larger than the sum of its proper divisors (34037440664727).

101122012020201 is a wasteful number, since it uses less digits than its factorization.

101122012020201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43921552.

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

Adding to 101122012020201 its reverse (102020210221101), we get a palindrome (203142222241302).

The spelling of 101122012020201 in words is "one hundred one trillion, one hundred twenty-two billion, twelve million, twenty thousand, two hundred one".