1010005551101 has 2 divisors, whose sum is σ = 1010005551102. Its totient is φ = 1010005551100.

The previous prime is 1010005551089. The next prime is 1010005551103. The reversal of 1010005551101 is 1011555000101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 740031783001 + 269973768100 = 860251^2 + 519590^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1010005551101 is a prime.

It is a super-2 number, since 2×1010005551101² (a number of 25 digits) contains 22 as substring.

Together with 1010005551103, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1010005551103) 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, 505002775550 + 505002775551.

It is an arithmetic number, because the mean of its divisors is an integer number (505002775551).

Almost surely, 2^{1010005551101} is an apocalyptic number.

It is an amenable number.

1010005551101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010005551101 is an equidigital number, since it uses as much as digits as its factorization.

1010005551101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 125, while the sum is 20.

The spelling of 1010005551101 in words is "one trillion, ten billion, five million, five hundred fifty-one thousand, one hundred one".