212101121001 has 16 divisors (see below), whose sum is σ = 352583682048. Its totient is φ = 110182400400.

The previous prime is 212101120939. The next prime is 212101121041. The reversal of 212101121001 is 100121101212.

It is not a de Polignac number, because 212101121001 - 2¹³ = 212101112809 is a prime.

It is not an unprimeable number, because it can be changed into a prime (212101121041) 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, 459093105 + ... + 459093566.

It is an arithmetic number, because the mean of its divisors is an integer number (22036480128).

Almost surely, 2^212101121001 is an apocalyptic number.

212101121001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

212101121001 is a deficient number, since it is larger than the sum of its proper divisors (140482561047).

212101121001 is a wasteful number, since it uses less digits than its factorization.

212101121001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 918186692.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 212101121001 its reverse (100121101212), we get a palindrome (312222222213).

The spelling of 212101121001 in words is "two hundred twelve billion, one hundred one million, one hundred twenty-one thousand, one".