100105500553081 has 2 divisors, whose sum is σ = 100105500553082. Its totient is φ = 100105500553080.

The previous prime is 100105500553063. The next prime is 100105500553103. The reversal of 100105500553081 is 180355005501001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 50904871605225 + 49200628947856 = 7134765^2 + 7014316^2 .

It is a cyclic number.

It is not a de Polignac number, because 100105500553081 - 2¹⁵ = 100105500520313 is a prime.

It is a super-2 number, since 2×100105500553081² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100105500553031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50052750276540 + 50052750276541.

It is an arithmetic number, because the mean of its divisors is an integer number (50052750276541).

Almost surely, 2^{100105500553081} is an apocalyptic number.

It is an amenable number.

100105500553081 is a deficient number, since it is larger than the sum of its proper divisors (1).

100105500553081 is an equidigital number, since it uses as much as digits as its factorization.

100105500553081 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 15000, while the sum is 34.

The spelling of 100105500553081 in words is "one hundred trillion, one hundred five billion, five hundred million, five hundred fifty-three thousand, eighty-one".