212101202101 has 4 divisors (see below), whose sum is σ = 212248598400. Its totient is φ = 211953805804.

The previous prime is 212101202011. The next prime is 212101202119. The reversal of 212101202101 is 101202101212.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 212101202101 - 2⁷ = 212101201973 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212101202801) 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 3 ways as a sum of consecutive naturals, for example, 73695991 + ... + 73698868.

It is an arithmetic number, because the mean of its divisors is an integer number (53062149600).

Almost surely, 2^212101202101 is an apocalyptic number.

It is an amenable number.

212101202101 is a deficient number, since it is larger than the sum of its proper divisors (147396299).

212101202101 is a wasteful number, since it uses less digits than its factorization.

212101202101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147396298.

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

Adding to 212101202101 its reverse (101202101212), we get a palindrome (313303303313).

It can be divided in two parts, 212 and 101202101, that multiplied together give a palindrome (21454845412).

The spelling of 212101202101 in words is "two hundred twelve billion, one hundred one million, two hundred two thousand, one hundred one".