212101011012121 has 64 divisors (see below), whose sum is σ = 272895331737600. Its totient is φ = 160063031520000.

The previous prime is 212101011012113. The next prime is 212101011012127. The reversal of 212101011012121 is 121210110101212.

It is not a de Polignac number, because 212101011012121 - 2³ = 212101011012113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 212101011012095 and 212101011012104.

It is not an unprimeable number, because it can be changed into a prime (212101011012127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 636201930 + ... + 636535228.

It is an arithmetic number, because the mean of its divisors is an integer number (4263989558400).

Almost surely, 2^{212101011012121} is an apocalyptic number.

It is an amenable number.

212101011012121 is a deficient number, since it is larger than the sum of its proper divisors (60794320725479).

212101011012121 is a wasteful number, since it uses less digits than its factorization.

212101011012121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335206.

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

Adding to 212101011012121 its reverse (121210110101212), we get a palindrome (333311121113333).

It can be divided in two parts, 21210101 and 1012121, that added together give a palindrome (22222222).

The spelling of 212101011012121 in words is "two hundred twelve trillion, one hundred one billion, eleven million, twelve thousand, one hundred twenty-one".