10210101210013 has 8 divisors (see below), whose sum is σ = 10224267482880. Its totient is φ = 10195943402400.

The previous prime is 10210101209977. The next prime is 10210101210079. The reversal of 10210101210013 is 31001210101201.

It is a happy number.

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 10210101210013 - 2²⁵ = 10210067655581 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10210101209975 and 10210101210002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10210101210083) 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, 299508 + ... + 4528786.

It is an arithmetic number, because the mean of its divisors is an integer number (1278033435360).

Almost surely, 2^{10210101210013} is an apocalyptic number.

It is an amenable number.

10210101210013 is a deficient number, since it is larger than the sum of its proper divisors (14166272867).

10210101210013 is a wasteful number, since it uses less digits than its factorization.

10210101210013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4232627.

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

Adding to 10210101210013 its reverse (31001210101201), we get a palindrome (41211311311214).

It can be divided in two parts, 102101012 and 10013, that added together give a square (102111025 = 10105²).

The spelling of 10210101210013 in words is "ten trillion, two hundred ten billion, one hundred one million, two hundred ten thousand, thirteen".