210122111010001 has 2 divisors, whose sum is σ = 210122111010002. Its totient is φ = 210122111010000.

The previous prime is 210122111009977. The next prime is 210122111010023. The reversal of 210122111010001 is 100010111221012.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 209942016869376 + 180094140625 = 14489376^2 + 424375^2 .

It is a cyclic number.

It is not a de Polignac number, because 210122111010001 - 2¹⁷ = 210122110878929 is a prime.

It is not a weakly prime, because it can be changed into another prime (210122111010901) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105061055505000 + 105061055505001.

It is an arithmetic number, because the mean of its divisors is an integer number (105061055505001).

Almost surely, 2^{210122111010001} is an apocalyptic number.

It is an amenable number.

210122111010001 is a deficient number, since it is larger than the sum of its proper divisors (1).

210122111010001 is an equidigital number, since it uses as much as digits as its factorization.

210122111010001 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 210122111010001 its reverse (100010111221012), we get a palindrome (310132222231013).

The spelling of 210122111010001 in words is "two hundred ten trillion, one hundred twenty-two billion, one hundred eleven million, ten thousand, one".