212100121101001 has 24 divisors (see below), whose sum is σ = 243634016546880. Its totient is φ = 180879304658976.

The previous prime is 212100121100999. The next prime is 212100121101019. The reversal of 212100121101001 is 100101121001212.

It is a happy number.

It is not a de Polignac number, because 212100121101001 - 2¹ = 212100121100999 is a prime.

It is a super-2 number, since 2×212100121101001² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (212100121101601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 599604655 + ... + 599958283.

It is an arithmetic number, because the mean of its divisors is an integer number (10151417356120).

Almost surely, 2^{212100121101001} is an apocalyptic number.

It is an amenable number.

212100121101001 is a deficient number, since it is larger than the sum of its proper divisors (31533895445879).

212100121101001 is an equidigital number, since it uses as much as digits as its factorization.

212100121101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355805 (or 355582 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 212100121101001 its reverse (100101121001212), we get a palindrome (312201242102213).

The spelling of 212100121101001 in words is "two hundred twelve trillion, one hundred billion, one hundred twenty-one million, one hundred one thousand, one".