10010101212013 has 24 divisors (see below), whose sum is σ = 11851696344960. Its totient is φ = 8427588523200.

The previous prime is 10010101211993. The next prime is 10010101212019. The reversal of 10010101212013 is 31021210101001.

It is a happy number.

It is not a de Polignac number, because 10010101212013 - 2⁹ = 10010101211501 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10010101211984 and 10010101212002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010101212019) 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, 1997788 + ... + 4900138.

It is an arithmetic number, because the mean of its divisors is an integer number (493820681040).

Almost surely, 2^{10010101212013} is an apocalyptic number.

It is an amenable number.

10010101212013 is a deficient number, since it is larger than the sum of its proper divisors (1841595132947).

10010101212013 is a wasteful number, since it uses less digits than its factorization.

10010101212013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2903617 (or 2903610 counting only the distinct ones).

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

Adding to 10010101212013 its reverse (31021210101001), we get a palindrome (41031311313014).

The spelling of 10010101212013 in words is "ten trillion, ten billion, one hundred one million, two hundred twelve thousand, thirteen".