1020101020002 has 12 divisors (see below), whose sum is σ = 2210218876710. Its totient is φ = 340033673328.

The previous prime is 1020101019979. The next prime is 1020101020019. The reversal of 1020101020002 is 2000201010201.

It can be written as a sum of positive squares in only one way, i.e., 1011514959081 + 8586060921 = 1005741^2 + 92661^2 .

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 (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 28336139427 + ... + 28336139462.

Almost surely, 2^{1020101020002} is an apocalyptic number.

1020101020002 is an abundant number, since it is smaller than the sum of its proper divisors (1190117856708).

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

1020101020002 is a wasteful number, since it uses less digits than its factorization.

1020101020002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56672278897 (or 56672278894 counting only the distinct ones).

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

Adding to 1020101020002 its reverse (2000201010201), we get a palindrome (3020302030203).

The spelling of 1020101020002 in words is "one trillion, twenty billion, one hundred one million, twenty thousand, two".