1010009101081 has 2 divisors, whose sum is σ = 1010009101082. Its totient is φ = 1010009101080.

The previous prime is 1010009101069. The next prime is 1010009101151. The reversal of 1010009101081 is 1801019000101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 986923033600 + 23086067481 = 993440^2 + 151941^2 .

It is a cyclic number.

It is not a de Polignac number, because 1010009101081 - 2²³ = 1010000712473 is a prime.

It is a super-2 number, since 2×1010009101081² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1010009105081) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505004550540 + 505004550541.

It is an arithmetic number, because the mean of its divisors is an integer number (505004550541).

Almost surely, 2^{1010009101081} is an apocalyptic number.

It is an amenable number.

1010009101081 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010009101081 is an equidigital number, since it uses as much as digits as its factorization.

1010009101081 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 22.

The spelling of 1010009101081 in words is "one trillion, ten billion, nine million, one hundred one thousand, eighty-one".