100100019993877 has 2 divisors, whose sum is σ = 100100019993878. Its totient is φ = 100100019993876.

The previous prime is 100100019993851. The next prime is 100100019993913. The reversal of 100100019993877 is 778399910001001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 64651344847236 + 35448675146641 = 8040606^2 + 5953879^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100100019993877 is a prime.

It is a super-2 number, since 2×100100019993877² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100100019993577) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050009996938 + 50050009996939.

It is an arithmetic number, because the mean of its divisors is an integer number (50050009996939).

Almost surely, 2^{100100019993877} is an apocalyptic number.

It is an amenable number.

100100019993877 is a deficient number, since it is larger than the sum of its proper divisors (1).

100100019993877 is an equidigital number, since it uses as much as digits as its factorization.

100100019993877 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 857304, while the sum is 55.

Adding to 100100019993877 its reverse (778399910001001), we get a palindrome (878499929994878).

The spelling of 100100019993877 in words is "one hundred trillion, one hundred billion, nineteen million, nine hundred ninety-three thousand, eight hundred seventy-seven".