100301013312029 has 2 divisors, whose sum is σ = 100301013312030. Its totient is φ = 100301013312028.

The previous prime is 100301013311959. The next prime is 100301013312037. The reversal of 100301013312029 is 920213310103001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 78854435520004 + 21446577792025 = 8880002^2 + 4631045^2 .

It is a cyclic number.

It is not a de Polignac number, because 100301013312029 - 2¹⁶ = 100301013246493 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100301013311989 and 100301013312007.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100301013312089) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50150506656014 + 50150506656015.

It is an arithmetic number, because the mean of its divisors is an integer number (50150506656015).

Almost surely, 2^{100301013312029} is an apocalyptic number.

It is an amenable number.

100301013312029 is a deficient number, since it is larger than the sum of its proper divisors (1).

100301013312029 is an equidigital number, since it uses as much as digits as its factorization.

100301013312029 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 972, while the sum is 26.

The spelling of 100301013312029 in words is "one hundred trillion, three hundred one billion, thirteen million, three hundred twelve thousand, twenty-nine".