10213113022101 has 32 divisors (see below), whose sum is σ = 16732151437440. Its totient is φ = 6104974147200.

The previous prime is 10213113022019. The next prime is 10213113022111. The reversal of 10213113022101 is 10122031131201.

10213113022101 is a `hidden beast` number, since 10 + 21 + 311 + 302 + 21 + 0 + 1 = 666.

It is not a de Polignac number, because 10213113022101 - 2¹⁷ = 10213112891029 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10213113022111) 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 31 ways as a sum of consecutive naturals, for example, 235509730 + ... + 235553091.

It is an arithmetic number, because the mean of its divisors is an integer number (522879732420).

Almost surely, 2^{10213113022101} is an apocalyptic number.

10213113022101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10213113022101 is a deficient number, since it is larger than the sum of its proper divisors (6519038415339).

10213113022101 is a wasteful number, since it uses less digits than its factorization.

10213113022101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471062914 (or 471062908 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 10213113022101 its reverse (10122031131201), we get a palindrome (20335144153302).

The spelling of 10213113022101 in words is "ten trillion, two hundred thirteen billion, one hundred thirteen million, twenty-two thousand, one hundred one".