100100111100029 has 2 divisors, whose sum is σ = 100100111100030. Its totient is φ = 100100111100028.

The previous prime is 100100111100023. The next prime is 100100111100127. The reversal of 100100111100029 is 920001111001001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 86481258220900 + 13618852879129 = 9299530^2 + 3690373^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100100111100029 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100100111100023) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050055550014 + 50050055550015.

It is an arithmetic number, because the mean of its divisors is an integer number (50050055550015).

Almost surely, 2^{100100111100029} is an apocalyptic number.

It is an amenable number.

100100111100029 is a deficient number, since it is larger than the sum of its proper divisors (1).

100100111100029 is an equidigital number, since it uses as much as digits as its factorization.

100100111100029 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18, while the sum is 17.

The spelling of 100100111100029 in words is "one hundred trillion, one hundred billion, one hundred eleven million, one hundred thousand, twenty-nine".