10101201111121 has 16 divisors (see below), whose sum is σ = 10418039875584. Its totient is φ = 9788094376704.

The previous prime is 10101201111109. The next prime is 10101201111137. The reversal of 10101201111121 is 12111110210101.

It is a cyclic number.

It is not a de Polignac number, because 10101201111121 - 2¹³ = 10101201102929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10101201111151) 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, 145866921 + ... + 145936153.

It is an arithmetic number, because the mean of its divisors is an integer number (651127492224).

Almost surely, 2^{10101201111121} is an apocalyptic number.

It is an amenable number.

10101201111121 is a deficient number, since it is larger than the sum of its proper divisors (316838764463).

10101201111121 is a wasteful number, since it uses less digits than its factorization.

10101201111121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96120.

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 10101201111121 its reverse (12111110210101), we get a palindrome (22212311321222).

The spelling of 10101201111121 in words is "ten trillion, one hundred one billion, two hundred one million, one hundred eleven thousand, one hundred twenty-one".