101011220120121 has 16 divisors (see below), whose sum is σ = 135932245627200. Its totient is φ = 66715640445888.

The previous prime is 101011220120081. The next prime is 101011220120123. The reversal of 101011220120121 is 121021022110101.

It is a happy number.

101011220120121 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 101011220120121 - 2⁹ = 101011220119609 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101011220120121.

It is not an unprimeable number, because it can be changed into a prime (101011220120123) 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, 14087206 + ... + 20011791.

It is an arithmetic number, because the mean of its divisors is an integer number (8495765351700).

Almost surely, 2^{101011220120121} is an apocalyptic number.

It is an amenable number.

101011220120121 is a deficient number, since it is larger than the sum of its proper divisors (34921025507079).

101011220120121 is a wasteful number, since it uses less digits than its factorization.

101011220120121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34108168.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 101011220120121 its reverse (121021022110101), we get a palindrome (222032242230222).

The spelling of 101011220120121 in words is "one hundred one trillion, eleven billion, two hundred twenty million, one hundred twenty thousand, one hundred twenty-one".