212102121101 has 16 divisors (see below), whose sum is σ = 230745464880. Its totient is φ = 193792435200.

The previous prime is 212102121079. The next prime is 212102121113. The reversal of 212102121101 is 101121201212.

It can be written as a sum of positive squares in 8 ways, for example, as 16783202500 + 195318918601 = 129550^2 + 441949^2 .

It is not a de Polignac number, because 212102121101 - 2¹⁴ = 212102104717 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 (212102121191) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4958915 + ... + 5001503.

It is an arithmetic number, because the mean of its divisors is an integer number (14421591555).

Almost surely, 2^212102121101 is an apocalyptic number.

It is an amenable number.

212102121101 is a deficient number, since it is larger than the sum of its proper divisors (18643343779).

212102121101 is a wasteful number, since it uses less digits than its factorization.

212102121101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46496.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 212102121101 its reverse (101121201212), we get a palindrome (313223322313).

The spelling of 212102121101 in words is "two hundred twelve billion, one hundred two million, one hundred twenty-one thousand, one hundred one".