212102002102001 has 12 divisors (see below), whose sum is σ = 234137499035076. Its totient is φ = 191992448229120.

The previous prime is 212102002101973. The next prime is 212102002102033. The reversal of 212102002102001 is 100201200201212.

It can be written as a sum of positive squares in 2 ways, for example, as 66995862010000 + 145106140092001 = 8185100^2 + 12046001^2 .

It is a de Polignac number, because none of the positive numbers 2^k-212102002102001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (212102002102801) 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, 3761579336 + ... + 3761635721.

It is an arithmetic number, because the mean of its divisors is an integer number (19511458252923).

Almost surely, 2^{212102002102001} is an apocalyptic number.

It is an amenable number.

212102002102001 is a deficient number, since it is larger than the sum of its proper divisors (22035496933075).

212102002102001 is a wasteful number, since it uses less digits than its factorization.

212102002102001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7523215312 (or 7523215301 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 212102002102001 its reverse (100201200201212), we get a palindrome (312303202303213).

The spelling of 212102002102001 in words is "two hundred twelve trillion, one hundred two billion, two million, one hundred two thousand, one".