10201210100013 has 16 divisors (see below), whose sum is σ = 13617855651456. Its totient is φ = 6792690091200.

The previous prime is 10201210099979. The next prime is 10201210100023. The reversal of 10201210100013 is 31000101210201.

It is not a de Polignac number, because 10201210100013 - 2¹⁴ = 10201210083629 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10201210100023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8644920 + ... + 9753822.

It is an arithmetic number, because the mean of its divisors is an integer number (851115978216).

Almost surely, 2^{10201210100013} is an apocalyptic number.

It is an amenable number.

10201210100013 is a deficient number, since it is larger than the sum of its proper divisors (3416645551443).

10201210100013 is a wasteful number, since it uses less digits than its factorization.

10201210100013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1112564.

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

Adding to 10201210100013 its reverse (31000101210201), we get a palindrome (41201311310214).

The spelling of 10201210100013 in words is "ten trillion, two hundred one billion, two hundred ten million, one hundred thousand, thirteen".