212120112101 has 8 divisors (see below), whose sum is σ = 225838640664. Its totient is φ = 198539458560.

The previous prime is 212120112077. The next prime is 212120112121. The reversal of 212120112101 is 101211021212.

It can be written as a sum of positive squares in 4 ways, for example, as 21717916900 + 190402195201 = 147370^2 + 436351^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 212120112101 - 2¹⁴ = 212120095717 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 (212120112121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34465580 + ... + 34471733.

It is an arithmetic number, because the mean of its divisors is an integer number (28229830083).

Almost surely, 2^212120112101 is an apocalyptic number.

It is an amenable number.

212120112101 is a deficient number, since it is larger than the sum of its proper divisors (13718528563).

212120112101 is a wasteful number, since it uses less digits than its factorization.

212120112101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68937511.

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

Adding to 212120112101 its reverse (101211021212), we get a palindrome (313331133313).

The spelling of 212120112101 in words is "two hundred twelve billion, one hundred twenty million, one hundred twelve thousand, one hundred one".