211001210112001 has 2 divisors, whose sum is σ = 211001210112002. Its totient is φ = 211001210112000.

The previous prime is 211001210111971. The next prime is 211001210112041. The reversal of 211001210112001 is 100211012100112.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 190839305091600 + 20161905020401 = 13814460^2 + 4490201^2 .

It is a cyclic number.

It is not a de Polignac number, because 211001210112001 - 2¹⁹ = 211001209587713 is a prime.

It is not a weakly prime, because it can be changed into another prime (211001210112041) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105500605056000 + 105500605056001.

It is an arithmetic number, because the mean of its divisors is an integer number (105500605056001).

Almost surely, 2^{211001210112001} is an apocalyptic number.

It is an amenable number.

211001210112001 is a deficient number, since it is larger than the sum of its proper divisors (1).

211001210112001 is an equidigital number, since it uses as much as digits as its factorization.

211001210112001 is an evil number, because the sum of its binary digits is even.

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

Adding to 211001210112001 its reverse (100211012100112), we get a palindrome (311212222212113).

The spelling of 211001210112001 in words is "two hundred eleven trillion, one billion, two hundred ten million, one hundred twelve thousand, one".