10101121112121 has 24 divisors (see below), whose sum is σ = 14584919342400. Its totient is φ = 6215626063296.

The previous prime is 10101121112113. The next prime is 10101121112141. The reversal of 10101121112121 is 12121112110101.

It is not a de Polignac number, because 10101121112121 - 2³ = 10101121112113 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10101121112121.

It is not an unprimeable number, because it can be changed into a prime (10101121112141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6384780 + ... + 7808178.

It is an arithmetic number, because the mean of its divisors is an integer number (607704972600).

Almost surely, 2^{10101121112121} is an apocalyptic number.

It is an amenable number.

10101121112121 is a deficient number, since it is larger than the sum of its proper divisors (4483798230279).

10101121112121 is a wasteful number, since it uses less digits than its factorization.

10101121112121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1437425 (or 1437412 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 10101121112121 its reverse (12121112110101), we get a palindrome (22222233222222).

The spelling of 10101121112121 in words is "ten trillion, one hundred one billion, one hundred twenty-one million, one hundred twelve thousand, one hundred twenty-one".