101122001111201 has 32 divisors (see below), whose sum is σ = 118901005187328. Its totient is φ = 84212178336000.

The previous prime is 101122001111141. The next prime is 101122001111203. The reversal of 101122001111201 is 102111100221101.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101122001111201 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101122001111203) 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, 12971435 + ... + 19248431.

It is an arithmetic number, because the mean of its divisors is an integer number (3715656412104).

Almost surely, 2^{101122001111201} is an apocalyptic number.

It is an amenable number.

101122001111201 is a deficient number, since it is larger than the sum of its proper divisors (17779004076127).

101122001111201 is a wasteful number, since it uses less digits than its factorization.

101122001111201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6277481.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 101122001111201 its reverse (102111100221101), we get a palindrome (203233101332302).

The spelling of 101122001111201 in words is "one hundred one trillion, one hundred twenty-two billion, one million, one hundred eleven thousand, two hundred one".