1012011202000 has 80 divisors (see below), whose sum is σ = 2531424027600. Its totient is φ = 390845683200.

The previous prime is 1012011201997. The next prime is 1012011202073. The reversal of 1012011202000 is 2021102101.

It can be written as a sum of positive squares in 8 ways, for example, as 667306004544 + 344705197456 = 816888^2 + 587116^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 8666235 + ... + 8782234.

It is an arithmetic number, because the mean of its divisors is an integer number (31642800345).

Almost surely, 2^{1012011202000} is an apocalyptic number.

1012011202000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1012011202000 is an abundant number, since it is smaller than the sum of its proper divisors (1519412825600).

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

1012011202000 is a wasteful number, since it uses less digits than its factorization.

1012011202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17448521 (or 17448505 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1012011202000 its reverse (2021102101), we get a palindrome (1014032304101).

The spelling of 1012011202000 in words is "one trillion, twelve billion, eleven million, two hundred two thousand".