1020102020101 has 8 divisors (see below), whose sum is σ = 1030307100408. Its totient is φ = 1009899000000.

The previous prime is 1020102020059. The next prime is 1020102020129. The reversal of 1020102020101 is 1010202010201.

It can be written as a sum of positive squares in 4 ways, for example, as 979310139201 + 40791880900 = 989601^2 + 201970^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 1020102020101 - 2⁷ = 1020102019973 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020102720101) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 489951 + ... + 1510051.

It is an arithmetic number, because the mean of its divisors is an integer number (128788387551).

Almost surely, 2^{1020102020101} is an apocalyptic number.

It is an amenable number.

1020102020101 is a deficient number, since it is larger than the sum of its proper divisors (10205080307).

1020102020101 is a wasteful number, since it uses less digits than its factorization.

1020102020101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1030103.

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

Adding to 1020102020101 its reverse (1010202010201), we get a palindrome (2030304030302).

The spelling of 1020102020101 in words is "one trillion, twenty billion, one hundred two million, twenty thousand, one hundred one".