100355510251081 has 2 divisors, whose sum is σ = 100355510251082. Its totient is φ = 100355510251080.

The previous prime is 100355510251021. The next prime is 100355510251093. The reversal of 100355510251081 is 180152015553001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 50595409172025 + 49760101079056 = 7113045^2 + 7054084^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100355510251081 is a prime.

It is a super-2 number, since 2×100355510251081² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100355510251081.

It is not a weakly prime, because it can be changed into another prime (100355510251021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50177755125540 + 50177755125541.

It is an arithmetic number, because the mean of its divisors is an integer number (50177755125541).

Almost surely, 2^{100355510251081} is an apocalyptic number.

It is an amenable number.

100355510251081 is a deficient number, since it is larger than the sum of its proper divisors (1).

100355510251081 is an equidigital number, since it uses as much as digits as its factorization.

100355510251081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 30000, while the sum is 37.

The spelling of 100355510251081 in words is "one hundred trillion, three hundred fifty-five billion, five hundred ten million, two hundred fifty-one thousand, eighty-one".