10121212101121 has 12 divisors (see below), whose sum is σ = 11779378597476. Its totient is φ = 8659860619520.

The previous prime is 10121212101097. The next prime is 10121212101137. The reversal of 10121212101121 is 12110121212101.

It can be written as a sum of positive squares in 2 ways, for example, as 9037905828721 + 1083306272400 = 3006311^2 + 1040820^2 .

It is not a de Polignac number, because 10121212101121 - 2¹⁵ = 10121212068353 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10121212101095 and 10121212101104.

It is not an unprimeable number, because it can be changed into a prime (10121212108121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2460185620 + ... + 2460189733.

It is an arithmetic number, because the mean of its divisors is an integer number (981614883123).

Almost surely, 2^{10121212101121} is an apocalyptic number.

10121212101121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10121212101121 is a deficient number, since it is larger than the sum of its proper divisors (1658166496355).

10121212101121 is a wasteful number, since it uses less digits than its factorization.

10121212101121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4920375392 (or 4920375381 counting only the distinct ones).

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

Adding to 10121212101121 its reverse (12110121212101), we get a palindrome (22231333313222).

It can be divided in two parts, 10121212101 and 121, that multiplied together give a palindrome (1224666664221).

The spelling of 10121212101121 in words is "ten trillion, one hundred twenty-one billion, two hundred twelve million, one hundred one thousand, one hundred twenty-one".