10122101012241 has 32 divisors (see below), whose sum is σ = 15838826640000. Its totient is φ = 6371087016384.

The previous prime is 10122101012239. The next prime is 10122101012291. The reversal of 10122101012241 is 14221010122101.

10122101012241 is a `hidden beast` number, since 101 + 221 + 0 + 101 + 2 + 241 = 666.

It is not a de Polignac number, because 10122101012241 - 2¹ = 10122101012239 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10122101012291) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33520666 + ... + 33821283.

It is an arithmetic number, because the mean of its divisors is an integer number (494963332500).

Almost surely, 2^{10122101012241} is an apocalyptic number.

It is an amenable number.

10122101012241 is a deficient number, since it is larger than the sum of its proper divisors (5716725627759).

10122101012241 is a wasteful number, since it uses less digits than its factorization.

10122101012241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67342270 (or 67342264 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 10122101012241 its reverse (14221010122101), we get a palindrome (24343111134342).

The spelling of 10122101012241 in words is "ten trillion, one hundred twenty-two billion, one hundred one million, twelve thousand, two hundred forty-one".