1012100020002 has 64 divisors (see below), whose sum is σ = 2322943672320. Its totient is φ = 326303802000.

The previous prime is 1012100019967. The next prime is 1012100020007. The reversal of 1012100020002 is 2000200012101.

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 (1012100020007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2885877 + ... + 3217527.

It is an arithmetic number, because the mean of its divisors is an integer number (36295994880).

Almost surely, 2^{1012100020002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1012100020002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1161471836160).

1012100020002 is an abundant number, since it is smaller than the sum of its proper divisors (1310843652318).

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

1012100020002 is a wasteful number, since it uses less digits than its factorization.

1012100020002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333516 (or 333510 counting only the distinct ones).

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

Adding to 1012100020002 its reverse (2000200012101), we get a palindrome (3012300032103).

The spelling of 1012100020002 in words is "one trillion, twelve billion, one hundred million, twenty thousand, two".