10102011011213 has 32 divisors (see below), whose sum is σ = 11078262743040. Its totient is φ = 9135580023360.

The previous prime is 10102011011119. The next prime is 10102011011249. The reversal of 10102011011213 is 31211011020101.

It is a cyclic number.

It is not a de Polignac number, because 10102011011213 - 2⁴² = 5703964500109 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102011011293) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2513561318 + ... + 2513565336.

It is an arithmetic number, because the mean of its divisors is an integer number (346195710720).

Almost surely, 2^{10102011011213} is an apocalyptic number.

It is an amenable number.

10102011011213 is a deficient number, since it is larger than the sum of its proper divisors (976251731827).

10102011011213 is a wasteful number, since it uses less digits than its factorization.

10102011011213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5897.

The product of its (nonzero) digits is 12, while the sum is 14.

Adding to 10102011011213 its reverse (31211011020101), we get a palindrome (41313022031314).

The spelling of 10102011011213 in words is "ten trillion, one hundred two billion, eleven million, eleven thousand, two hundred thirteen".