1010112120121 has 8 divisors (see below), whose sum is σ = 1088136757064. Its totient is φ = 932133726720.

The previous prime is 1010112120113. The next prime is 1010112120161. The reversal of 1010112120121 is 1210212110101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 169076393721 + 841035726400 = 411189^2 + 917080^2 .

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 1010112120121 - 2³ = 1010112120113 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1010112120161) 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, 11515506 + ... + 11602891.

It is an arithmetic number, because the mean of its divisors is an integer number (136017094633).

Almost surely, 2^{1010112120121} is an apocalyptic number.

It is an amenable number.

1010112120121 is a deficient number, since it is larger than the sum of its proper divisors (78024636943).

1010112120121 is a wasteful number, since it uses less digits than its factorization.

1010112120121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23121771.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 1010112120121 its reverse (1210212110101), we get a palindrome (2220324230222).

The spelling of 1010112120121 in words is "one trillion, ten billion, one hundred twelve million, one hundred twenty thousand, one hundred twenty-one".