211214001001 has 12 divisors (see below), whose sum is σ = 218279770500. Its totient is φ = 204370089120.

The previous prime is 211214000957. The next prime is 211214001071. The reversal of 211214001001 is 100100412112.

It can be written as a sum of positive squares in 2 ways, for example, as 198029450025 + 13184550976 = 445005^2 + 114824^2 .

It is not a de Polignac number, because 211214001001 - 2¹³ = 211213992809 is a prime.

It is a super-2 number, since 2×211214001001² (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 (211214001071) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8972635 + ... + 8996143.

It is an arithmetic number, because the mean of its divisors is an integer number (18189980875).

Almost surely, 2^211214001001 is an apocalyptic number.

It is an amenable number.

211214001001 is a deficient number, since it is larger than the sum of its proper divisors (7065769499).

211214001001 is an equidigital number, since it uses as much as digits as its factorization.

211214001001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32920 (or 32889 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 211214001001 its reverse (100100412112), we get a palindrome (311314413113).

The spelling of 211214001001 in words is "two hundred eleven billion, two hundred fourteen million, one thousand, one".