212101000001001 has 24 divisors (see below), whose sum is σ = 309603912642024. Its totient is φ = 139907948544000.

The previous prime is 212101000000979. The next prime is 212101000001021. The reversal of 212101000001001 is 100100000101212.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 16917188528601 + 195183811472400 = 4113051^2 + 13970820^2 .

It is not a de Polignac number, because 212101000001001 - 2⁵ = 212101000000969 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (212101000001021) 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, 26869096 + ... + 33854841.

It is an arithmetic number, because the mean of its divisors is an integer number (12900163026751).

Almost surely, 2^{212101000001001} is an apocalyptic number.

It is an amenable number.

212101000001001 is a deficient number, since it is larger than the sum of its proper divisors (97502912641023).

212101000001001 is a wasteful number, since it uses less digits than its factorization.

212101000001001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60728041 (or 60728038 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 212101000001001 its reverse (100100000101212), we get a palindrome (312201000102213).

The spelling of 212101000001001 in words is "two hundred twelve trillion, one hundred one billion, one thousand, one".