213102100201 has 16 divisors (see below), whose sum is σ = 216965174400. Its totient is φ = 209264540800.

The previous prime is 213102100199. The next prime is 213102100279. The reversal of 213102100201 is 102001201312.

It is a cyclic number.

It is not a de Polignac number, because 213102100201 - 2¹ = 213102100199 is a prime.

It is a super-2 number, since 2×213102100201² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (213102109201) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21012990 + ... + 21023128.

It is an arithmetic number, because the mean of its divisors is an integer number (13560323400).

Almost surely, 2^213102100201 is an apocalyptic number.

It is an amenable number.

213102100201 is a deficient number, since it is larger than the sum of its proper divisors (3863074199).

213102100201 is a wasteful number, since it uses less digits than its factorization.

213102100201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11360.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 213102100201 its reverse (102001201312), we get a palindrome (315103301513).

The spelling of 213102100201 in words is "two hundred thirteen billion, one hundred two million, one hundred thousand, two hundred one".