100105061131099 has 2 divisors, whose sum is σ = 100105061131100. Its totient is φ = 100105061131098.

The previous prime is 100105061131091. The next prime is 100105061131111. The reversal of 100105061131099 is 990131160501001.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 100105061131099 - 2³ = 100105061131091 is a prime.

It is a super-2 number, since 2×100105061131099² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100105061131091) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50052530565549 + 50052530565550.

It is an arithmetic number, because the mean of its divisors is an integer number (50052530565550).

Almost surely, 2^{100105061131099} is an apocalyptic number.

100105061131099 is a deficient number, since it is larger than the sum of its proper divisors (1).

100105061131099 is an equidigital number, since it uses as much as digits as its factorization.

100105061131099 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7290, while the sum is 37.

The spelling of 100105061131099 in words is "one hundred trillion, one hundred five billion, sixty-one million, one hundred thirty-one thousand, ninety-nine".