1010010122113 has 8 divisors (see below), whose sum is σ = 1034563137696. Its totient is φ = 985505488800.

The previous prime is 1010010122083. The next prime is 1010010122123. The reversal of 1010010122113 is 3112210100101.

It is a happy number.

1010010122113 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 1010010122113 - 2¹⁷ = 1010009991041 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1010010122093 and 1010010122102.

It is not an unprimeable number, because it can be changed into a prime (1010010122123) 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, 12053308 + ... + 12136813.

It is an arithmetic number, because the mean of its divisors is an integer number (129320392212).

Almost surely, 2^{1010010122113} is an apocalyptic number.

It is an amenable number.

1010010122113 is a deficient number, since it is larger than the sum of its proper divisors (24553015583).

1010010122113 is an equidigital number, since it uses as much as digits as its factorization.

1010010122113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24191135.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 1010010122113 its reverse (3112210100101), we get a palindrome (4122220222214).

The spelling of 1010010122113 in words is "one trillion, ten billion, ten million, one hundred twenty-two thousand, one hundred thirteen".