211121021112001 has 16 divisors (see below), whose sum is σ = 283463189186688. Its totient is φ = 151855279920000.

The previous prime is 211121021111989. The next prime is 211121021112013. The reversal of 211121021112001 is 100211120121112.

It is an interprime number because it is at equal distance from previous prime (211121021111989) and next prime (211121021112013).

It is a cyclic number.

It is not a de Polignac number, because 211121021112001 - 2¹⁹ = 211121020587713 is a prime.

It is not an unprimeable number, because it can be changed into a prime (211121021112041) 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, 105455054500 + ... + 105455056501.

It is an arithmetic number, because the mean of its divisors is an integer number (17716449324168).

Almost surely, 2^{211121021112001} is an apocalyptic number.

It is an amenable number.

211121021112001 is a deficient number, since it is larger than the sum of its proper divisors (72342168074687).

211121021112001 is a wasteful number, since it uses less digits than its factorization.

211121021112001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210910111032.

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

Adding to 211121021112001 its reverse (100211120121112), we get a palindrome (311332141233113).

The spelling of 211121021112001 in words is "two hundred eleven trillion, one hundred twenty-one billion, twenty-one million, one hundred twelve thousand, one".