100131221110121 has 2 divisors, whose sum is σ = 100131221110122. Its totient is φ = 100131221110120.

The previous prime is 100131221110103. The next prime is 100131221110133. The reversal of 100131221110121 is 121011122131001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100100245110121 + 30976000000 = 10005011^2 + 176000^2 .

It is a cyclic number.

It is not a de Polignac number, because 100131221110121 - 2¹⁴ = 100131221093737 is a prime.

It is a super-2 number, since 2×100131221110121² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100131221110121.

It is not a weakly prime, because it can be changed into another prime (100131221110171) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50065610555060 + 50065610555061.

It is an arithmetic number, because the mean of its divisors is an integer number (50065610555061).

Almost surely, 2^{100131221110121} is an apocalyptic number.

It is an amenable number.

100131221110121 is a deficient number, since it is larger than the sum of its proper divisors (1).

100131221110121 is an equidigital number, since it uses as much as digits as its factorization.

100131221110121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24, while the sum is 17.

Adding to 100131221110121 its reverse (121011122131001), we get a palindrome (221142343241122).

The spelling of 100131221110121 in words is "one hundred trillion, one hundred thirty-one billion, two hundred twenty-one million, one hundred ten thousand, one hundred twenty-one".