101011220211121 has 8 divisors (see below), whose sum is σ = 110205817574688. Its totient is φ = 91818582708000.

The previous prime is 101011220211101. The next prime is 101011220211131. The reversal of 101011220211121 is 121112022110101.

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 101011220211121 - 2¹¹ = 101011220209073 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101011220211095 and 101011220211104.

It is not an unprimeable number, because it can be changed into a prime (101011220211101) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 489857340 + ... + 490063501.

It is an arithmetic number, because the mean of its divisors is an integer number (13775727196836).

Almost surely, 2^{101011220211121} is an apocalyptic number.

101011220211121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101011220211121 is a deficient number, since it is larger than the sum of its proper divisors (9194597363567).

101011220211121 is an equidigital number, since it uses as much as digits as its factorization.

101011220211121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 979930223.

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

Adding to 101011220211121 its reverse (121112022110101), we get a palindrome (222123242321222).

The spelling of 101011220211121 in words is "one hundred one trillion, eleven billion, two hundred twenty million, two hundred eleven thousand, one hundred twenty-one".