1010000101 has 8 divisors (see below), whose sum is σ = 1112728608. Its totient is φ = 909090000.

The previous prime is 1010000083. The next prime is 1010000111.

1010000101 is nontrivially palindromic in base 10.

1010000101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1010000101 - 2⁷ = 1009999973 is a prime.

1010000101 is a strobogrammatic number because it is the same when read upside-down.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010000111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 453435 + ... + 455656.

It is an arithmetic number, because the mean of its divisors is an integer number (139091076).

Almost surely, 2^1010000101 is an apocalyptic number.

1010000101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1010000101 is a deficient number, since it is larger than the sum of its proper divisors (102728507).

1010000101 is a wasteful number, since it uses less digits than its factorization.

1010000101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909203.

The product of its (nonzero) digits is 1, while the sum is 4.

The square root of 1010000101 is about 31780.4987531662. The cubic root of 1010000101 is about 1003.3223169862.

It can be divided in two parts, 1010000 and 101, that multiplied together give a square (102010000 = 10100²).

The spelling of 1010000101 in words is "one billion, ten million, one hundred one", and thus it is an aban number.