1012786101 has 24 divisors (see below), whose sum is σ = 1554545304. Its totient is φ = 633185280.

The previous prime is 1012786097. The next prime is 1012786123. The reversal of 1012786101 is 1016872101.

It can be written as a sum of positive squares in 4 ways, for example, as 67223601 + 945562500 = 8199^2 + 30750^2 .

It is not a de Polignac number, because 1012786101 - 2² = 1012786097 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012786001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31215 + ... + 54771.

It is an arithmetic number, because the mean of its divisors is an integer number (64772721).

Almost surely, 2^1012786101 is an apocalyptic number.

It is an amenable number.

1012786101 is a deficient number, since it is larger than the sum of its proper divisors (541759203).

1012786101 is a wasteful number, since it uses less digits than its factorization.

1012786101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23861 (or 23858 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 27.

The square root of 1012786101 is about 31824.3004793507. The cubic root of 1012786101 is about 1004.2439966786.

The spelling of 1012786101 in words is "one billion, twelve million, seven hundred eighty-six thousand, one hundred one".