10111212102121 has 12 divisors (see below), whose sum is σ = 10949062096128. Its totient is φ = 9333226407024.

The previous prime is 10111212102119. The next prime is 10111212102223. The reversal of 10111212102121 is 12120121211101.

It is not a de Polignac number, because 10111212102121 - 2¹ = 10111212102119 is a prime.

It is a super-3 number, since 3×10111212102121³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 10111212102095 and 10111212102104.

It is not an unprimeable number, because it can be changed into a prime (10111212102421) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7572976 + ... + 8807518.

It is an arithmetic number, because the mean of its divisors is an integer number (912421841344).

Almost surely, 2^{10111212102121} is an apocalyptic number.

It is an amenable number.

10111212102121 is a deficient number, since it is larger than the sum of its proper divisors (837849994007).

10111212102121 is a wasteful number, since it uses less digits than its factorization.

10111212102121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1283032 (or 1283019 counting only the distinct ones).

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

Adding to 10111212102121 its reverse (12120121211101), we get a palindrome (22231333313222).

The spelling of 10111212102121 in words is "ten trillion, one hundred eleven billion, two hundred twelve million, one hundred two thousand, one hundred twenty-one".