1012020100002 has 64 divisors (see below), whose sum is σ = 2259339004800. Its totient is φ = 335779879680.

The previous prime is 1012020100001. The next prime is 1012020100073. The reversal of 1012020100002 is 2000010202101.

1012020100002 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (1012020100001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 104445574 + ... + 104455262.

It is an arithmetic number, because the mean of its divisors is an integer number (35302171950).

Almost surely, 2^{1012020100002} is an apocalyptic number.

1012020100002 is an abundant number, since it is smaller than the sum of its proper divisors (1247318904798).

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

1012020100002 is a wasteful number, since it uses less digits than its factorization.

1012020100002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18448 (or 18442 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1012020100002 its reverse (2000010202101), we get a palindrome (3012030302103).

The spelling of 1012020100002 in words is "one trillion, twelve billion, twenty million, one hundred thousand, two".