100107016202029 has 2 divisors, whose sum is σ = 100107016202030. Its totient is φ = 100107016202028.

The previous prime is 100107016202003. The next prime is 100107016202101. The reversal of 100107016202029 is 920202610701001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 89110012836100 + 10997003365929 = 9439810^2 + 3316173^2 .

It is a cyclic number.

It is not a de Polignac number, because 100107016202029 - 2¹⁹ = 100107015677741 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100107016202129) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50053508101014 + 50053508101015.

It is an arithmetic number, because the mean of its divisors is an integer number (50053508101015).

Almost surely, 2^{100107016202029} is an apocalyptic number.

It is an amenable number.

100107016202029 is a deficient number, since it is larger than the sum of its proper divisors (1).

100107016202029 is an equidigital number, since it uses as much as digits as its factorization.

100107016202029 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3024, while the sum is 31.

The spelling of 100107016202029 in words is "one hundred trillion, one hundred seven billion, sixteen million, two hundred two thousand, twenty-nine".