100131000123029 has 2 divisors, whose sum is σ = 100131000123030. Its totient is φ = 100131000123028.

The previous prime is 100131000122977. The next prime is 100131000123043. The reversal of 100131000123029 is 920321000131001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 73458578356804 + 26672421766225 = 8570798^2 + 5164535^2 .

It is a cyclic number.

It is not a de Polignac number, because 100131000123029 - 2⁸ = 100131000122773 is a prime.

It is a super-2 number, since 2×100131000123029² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100131000122995 and 100131000123013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100131000129029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50065500061514 + 50065500061515.

It is an arithmetic number, because the mean of its divisors is an integer number (50065500061515).

Almost surely, 2^{100131000123029} is an apocalyptic number.

It is an amenable number.

100131000123029 is a deficient number, since it is larger than the sum of its proper divisors (1).

100131000123029 is an equidigital number, since it uses as much as digits as its factorization.

100131000123029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 23.

The spelling of 100131000123029 in words is "one hundred trillion, one hundred thirty-one billion, one hundred twenty-three thousand, twenty-nine".