211121100000121 has 16 divisors (see below), whose sum is σ = 213005079853200. Its totient is φ = 209243684782080.

The previous prime is 211121100000113. The next prime is 211121100000127. The reversal of 211121100000121 is 121000001121112.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 65142413077225 + 145978686922896 = 8071085^2 + 12082164^2 .

It is a cyclic number.

It is not a de Polignac number, because 211121100000121 - 2³ = 211121100000113 is a prime.

It is a super-2 number, since 2×211121100000121² (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 (211121100000127) 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, 185219475 + ... + 186355831.

It is an arithmetic number, because the mean of its divisors is an integer number (13312817490825).

Almost surely, 2^{211121100000121} is an apocalyptic number.

It is an amenable number.

211121100000121 is a deficient number, since it is larger than the sum of its proper divisors (1883979853079).

211121100000121 is a wasteful number, since it uses less digits than its factorization.

211121100000121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1139244.

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

Adding to 211121100000121 its reverse (121000001121112), we get a palindrome (332121101121233).

The spelling of 211121100000121 in words is "two hundred eleven trillion, one hundred twenty-one billion, one hundred million, one hundred twenty-one", and thus it is an aban number.