1100100012131 has 2 divisors, whose sum is σ = 1100100012132. Its totient is φ = 1100100012130.

The previous prime is 1100100012091. The next prime is 1100100012161. The reversal of 1100100012131 is 1312100010011.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1100100012131 is a prime.

It is a super-2 number, since 2×1100100012131² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1100100012161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 550050006065 + 550050006066.

It is an arithmetic number, because the mean of its divisors is an integer number (550050006066).

Almost surely, 2^{1100100012131} is an apocalyptic number.

1100100012131 is a deficient number, since it is larger than the sum of its proper divisors (1).

1100100012131 is an equidigital number, since it uses as much as digits as its factorization.

1100100012131 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 1100100012131 its reverse (1312100010011), we get a palindrome (2412200022142).

The spelling of 1100100012131 in words is "one trillion, one hundred billion, one hundred million, twelve thousand, one hundred thirty-one".