1012000101012 has 36 divisors (see below), whose sum is σ = 2574405083796. Its totient is φ = 335184744960.

The previous prime is 1012000100989. The next prime is 1012000101017. The reversal of 1012000101012 is 2101010002101.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 634947610896 + 377052490116 = 796836^2 + 614046^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1012000100985 and 1012000101003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012000101017) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 89520189 + ... + 89531492.

Almost surely, 2^{1012000101012} is an apocalyptic number.

1012000101012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1012000101012 is an abundant number, since it is smaller than the sum of its proper divisors (1562404982784).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1012000101012 is a wasteful number, since it uses less digits than its factorization.

1012000101012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179051848 (or 179051843 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1012000101012 its reverse (2101010002101), we get a palindrome (3113010103113).

The spelling of 1012000101012 in words is "one trillion, twelve billion, one hundred one thousand, twelve".