101000001001012 has 12 divisors (see below), whose sum is σ = 176750356719076. Its totient is φ = 50499899081280.

The previous prime is 101000001000979. The next prime is 101000001001019. The reversal of 101000001001012 is 210100100000101.

It can be written as a sum of positive squares in 2 ways, for example, as 49266304848016 + 51733696152996 = 7018996^2 + 7192614^2 .

It is a junction number, because it is equal to n+sod(n) for n = 101000001000986 and 101000001001004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101000001001019) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 23091663 + ... + 27115030.

Almost surely, 2^{101000001001012} is an apocalyptic number.

It is an amenable number.

101000001001012 is a deficient number, since it is larger than the sum of its proper divisors (75750355718064).

101000001001012 is a wasteful number, since it uses less digits than its factorization.

101000001001012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50709618 (or 50709616 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 101000001001012 its reverse (210100100000101), we get a palindrome (311100101001113).

The spelling of 101000001001012 in words is "one hundred one trillion, one million, one thousand, twelve".