1010201020002 has 12 divisors (see below), whose sum is σ = 2188768876710. Its totient is φ = 336733673328.

The previous prime is 1010201019977. The next prime is 1010201020013. The reversal of 1010201020002 is 2000201020101.

It can be written as a sum of positive squares in only one way, i.e., 624809621601 + 385391398401 = 790449^2 + 620799^2 .

It is a super-2 number, since 2×1010201020002² (a number of 25 digits) contains 22 as substring.

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

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 5 ways as a sum of consecutive naturals, for example, 28061139427 + ... + 28061139462.

Almost surely, 2^{1010201020002} is an apocalyptic number.

1010201020002 is an abundant number, since it is smaller than the sum of its proper divisors (1178567856708).

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

1010201020002 is a wasteful number, since it uses less digits than its factorization.

1010201020002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56122278897 (or 56122278894 counting only the distinct ones).

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

Adding to 1010201020002 its reverse (2000201020101), we get a palindrome (3010402040103).

Subtracting 1010201020002 from its reverse (2000201020101), we obtain a palindrome (990000000099).

The spelling of 1010201020002 in words is "one trillion, ten billion, two hundred one million, twenty thousand, two".