100510000555001 has 2 divisors, whose sum is σ = 100510000555002. Its totient is φ = 100510000555000.

The previous prime is 100510000554947. The next prime is 100510000555007. The reversal of 100510000555001 is 100555000015001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100296699750976 + 213300804025 = 10014824^2 + 461845^2 .

It is a cyclic number.

It is not a de Polignac number, because 100510000555001 - 2²⁶ = 100509933446137 is a prime.

It is a super-2 number, since 2×100510000555001² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100510000555007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50255000277500 + 50255000277501.

It is an arithmetic number, because the mean of its divisors is an integer number (50255000277501).

Almost surely, 2^{100510000555001} is an apocalyptic number.

It is an amenable number.

100510000555001 is a deficient number, since it is larger than the sum of its proper divisors (1).

100510000555001 is an equidigital number, since it uses as much as digits as its factorization.

100510000555001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 625, while the sum is 23.

The spelling of 100510000555001 in words is "one hundred trillion, five hundred ten billion, five hundred fifty-five thousand, one".