211012121222001 has 30 divisors (see below), whose sum is σ = 346476692886786. Its totient is φ = 127886134068000.

The previous prime is 211012121221987. The next prime is 211012121222017. The reversal of 211012121222001 is 100222121210112.

211012121222001 is a `hidden beast` number, since 2 + 110 + 121 + 212 + 220 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 197004355358976 + 14007765863025 = 14035824^2 + 3742695^2 .

It is not a de Polignac number, because 211012121222001 - 2²⁵ = 211012087667569 is a prime.

It is a super-2 number, since 2×211012121222001² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (211012121222041) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 10764816300 + ... + 10764835901.

Almost surely, 2^{211012121222001} is an apocalyptic number.

It is an amenable number.

211012121222001 is a deficient number, since it is larger than the sum of its proper divisors (135464571664785).

211012121222001 is a wasteful number, since it uses less digits than its factorization.

211012121222001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21529652235 (or 21529652215 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 211012121222001 its reverse (100222121210112), we get a palindrome (311234242432113).

The spelling of 211012121222001 in words is "two hundred eleven trillion, twelve billion, one hundred twenty-one million, two hundred twenty-two thousand, one".