10101506241121 has 8 divisors (see below), whose sum is σ = 10595889091584. Its totient is φ = 9611722301280.

The previous prime is 10101506241107. The next prime is 10101506241157. The reversal of 10101506241121 is 12114260510101.

It is a happy number.

10101506241121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 10101506241121 - 2¹⁹ = 10101505716833 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10101506241181) 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, 1149723156 + ... + 1149731941.

It is an arithmetic number, because the mean of its divisors is an integer number (1324486136448).

Almost surely, 2^{10101506241121} is an apocalyptic number.

It is an amenable number.

10101506241121 is a deficient number, since it is larger than the sum of its proper divisors (494382850463).

10101506241121 is a wasteful number, since it uses less digits than its factorization.

10101506241121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2299455311.

The product of its (nonzero) digits is 480, while the sum is 25.

Adding to 10101506241121 its reverse (12114260510101), we get a palindrome (22215766751222).

The spelling of 10101506241121 in words is "ten trillion, one hundred one billion, five hundred six million, two hundred forty-one thousand, one hundred twenty-one".