214213011001 has 32 divisors (see below), whose sum is σ = 250031650176. Its totient is φ = 181361280000.

The previous prime is 214213010989. The next prime is 214213011079. The reversal of 214213011001 is 100110312412.

It is a cyclic number.

It is not a de Polignac number, because 214213011001 - 2⁷ = 214213010873 is a prime.

It is a super-2 number, since 2×214213011001² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (214213011401) 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, 60493291 + ... + 60496831.

It is an arithmetic number, because the mean of its divisors is an integer number (7813489068).

Almost surely, 2^214213011001 is an apocalyptic number.

It is an amenable number.

214213011001 is a deficient number, since it is larger than the sum of its proper divisors (35818639175).

214213011001 is a wasteful number, since it uses less digits than its factorization.

214213011001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6873.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 214213011001 its reverse (100110312412), we get a palindrome (314323323413).

The spelling of 214213011001 in words is "two hundred fourteen billion, two hundred thirteen million, eleven thousand, one".