100131221110093 has 2 divisors, whose sum is σ = 100131221110094. Its totient is φ = 100131221110092.

The previous prime is 100131221110087. The next prime is 100131221110103. The reversal of 100131221110093 is 390011122131001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 84896266482889 + 15234954627204 = 9213917^2 + 3903198^2 .

It is a cyclic number.

It is not a de Polignac number, because 100131221110093 - 2¹⁷ = 100131220979021 is a prime.

It is a super-2 number, since 2×100131221110093² (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 (100131221110003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50065610555046 + 50065610555047.

It is an arithmetic number, because the mean of its divisors is an integer number (50065610555047).

Almost surely, 2^{100131221110093} is an apocalyptic number.

It is an amenable number.

100131221110093 is a deficient number, since it is larger than the sum of its proper divisors (1).

100131221110093 is an equidigital number, since it uses as much as digits as its factorization.

100131221110093 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 324, while the sum is 25.

Adding to 100131221110093 its reverse (390011122131001), we get a palindrome (490142343241094).

The spelling of 100131221110093 in words is "one hundred trillion, one hundred thirty-one billion, two hundred twenty-one million, one hundred ten thousand, ninety-three".