213001203112101 has 24 divisors (see below), whose sum is σ = 323862301620000. Its totient is φ = 134526733703712.

The previous prime is 213001203112079. The next prime is 213001203112123. The reversal of 213001203112101 is 101211302100312.

213001203112101 is a `hidden beast` number, since 2 + 1 + 300 + 120 + 31 + 1 + 210 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (213001203112079) and next prime (213001203112123).

It is not a de Polignac number, because 213001203112101 - 2⁹ = 213001203111589 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213001203112141) 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, 77366770 + ... + 80072588.

It is an arithmetic number, because the mean of its divisors is an integer number (13494262567500).

Almost surely, 2^{213001203112101} is an apocalyptic number.

It is an amenable number.

213001203112101 is a deficient number, since it is larger than the sum of its proper divisors (110861098507899).

213001203112101 is a wasteful number, since it uses less digits than its factorization.

213001203112101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3166193 (or 3166190 counting only the distinct ones).

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

Adding to 213001203112101 its reverse (101211302100312), we get a palindrome (314212505212413).

The spelling of 213001203112101 in words is "two hundred thirteen trillion, one billion, two hundred three million, one hundred twelve thousand, one hundred one".