2021112212101 has 8 divisors (see below), whose sum is σ = 2161189297944. Its totient is φ = 1883389363200.

The previous prime is 2021112212081. The next prime is 2021112212113. The reversal of 2021112212101 is 1012122111202.

It can be written as a sum of positive squares in 4 ways, for example, as 1613141309025 + 407970903076 = 1270095^2 + 638726^2 .

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

It is not a de Polignac number, because 2021112212101 - 2⁷ = 2021112211973 is a prime.

It is a super-2 number, since 2×2021112212101² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2021112210101) 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, 588557460 + ... + 588560893.

It is an arithmetic number, because the mean of its divisors is an integer number (270148662243).

Almost surely, 2^{2021112212101} is an apocalyptic number.

It is an amenable number.

2021112212101 is a deficient number, since it is larger than the sum of its proper divisors (140077085843).

2021112212101 is a wasteful number, since it uses less digits than its factorization.

2021112212101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1177118471.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 2021112212101 its reverse (1012122111202), we get a palindrome (3033234323303).

The spelling of 2021112212101 in words is "two trillion, twenty-one billion, one hundred twelve million, two hundred twelve thousand, one hundred one".