10101310031121 has 8 divisors (see below), whose sum is σ = 14260672985184. Its totient is φ = 6338076882240.

The previous prime is 10101310031107. The next prime is 10101310031123. The reversal of 10101310031121 is 12113001310101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 10101310031121 - 2³⁸ = 9826432124177 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10101310031121.

It is not an unprimeable number, because it can be changed into a prime (10101310031123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 99032451235 + ... + 99032451336.

It is an arithmetic number, because the mean of its divisors is an integer number (1782584123148).

Almost surely, 2^{10101310031121} is an apocalyptic number.

It is an amenable number.

10101310031121 is a deficient number, since it is larger than the sum of its proper divisors (4159362954063).

10101310031121 is a wasteful number, since it uses less digits than its factorization.

10101310031121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198064902591.

The product of its (nonzero) digits is 18, while the sum is 15.

Adding to 10101310031121 its reverse (12113001310101), we get a palindrome (22214311341222).

The spelling of 10101310031121 in words is "ten trillion, one hundred one billion, three hundred ten million, thirty-one thousand, one hundred twenty-one".