101122002201201 has 32 divisors (see below), whose sum is σ = 136756389519360. Its totient is φ = 66453978512064.

The previous prime is 101122002201191. The next prime is 101122002201229. The reversal of 101122002201201 is 102102200221101.

It is not a de Polignac number, because 101122002201201 - 2³⁹ = 100572246387313 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101122002200201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 385679116 + ... + 385941218.

It is an arithmetic number, because the mean of its divisors is an integer number (4273637172480).

Almost surely, 2^{101122002201201} is an apocalyptic number.

It is an amenable number.

101122002201201 is a deficient number, since it is larger than the sum of its proper divisors (35634387318159).

101122002201201 is a wasteful number, since it uses less digits than its factorization.

101122002201201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264805.

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

Adding to 101122002201201 its reverse (102102200221101), we get a palindrome (203224202422302).

The spelling of 101122002201201 in words is "one hundred one trillion, one hundred twenty-two billion, two million, two hundred one thousand, two hundred one".