100100012111221 has 2 divisors, whose sum is σ = 100100012111222. Its totient is φ = 100100012111220.

The previous prime is 100100012111131. The next prime is 100100012111227. The reversal of 100100012111221 is 122111210001001.

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., 97368760088721 + 2731252022500 = 9867561^2 + 1652650^2 .

It is a cyclic number.

It is not a de Polignac number, because 100100012111221 - 2¹⁷ = 100100011980149 is a prime.

It is a super-2 number, since 2×100100012111221² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100100012111227) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050006055610 + 50050006055611.

It is an arithmetic number, because the mean of its divisors is an integer number (50050006055611).

Almost surely, 2^{100100012111221} is an apocalyptic number.

It is an amenable number.

100100012111221 is a deficient number, since it is larger than the sum of its proper divisors (1).

100100012111221 is an equidigital number, since it uses as much as digits as its factorization.

100100012111221 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 100100012111221 its reverse (122111210001001), we get a palindrome (222211222112222).

The spelling of 100100012111221 in words is "one hundred trillion, one hundred billion, twelve million, one hundred eleven thousand, two hundred twenty-one".