1020020100103 has 8 divisors (see below), whose sum is σ = 1080392603760. Its totient is φ = 959688854400.

The previous prime is 1020020100083. The next prime is 1020020100109. The reversal of 1020020100103 is 3010010200201.

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

It is a cyclic number.

It is not a de Polignac number, because 1020020100103 - 2²¹ = 1020018002951 is a prime.

It is a super-3 number, since 3×1020020100103³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1020020100103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020020100109) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10263573 + ... + 10362478.

It is an arithmetic number, because the mean of its divisors is an integer number (135049075470).

Almost surely, 2^{1020020100103} is an apocalyptic number.

1020020100103 is a deficient number, since it is larger than the sum of its proper divisors (60372503657).

1020020100103 is a wasteful number, since it uses less digits than its factorization.

1020020100103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20628977.

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 1020020100103 its reverse (3010010200201), we get a palindrome (4030030300304).

The spelling of 1020020100103 in words is "one trillion, twenty billion, twenty million, one hundred thousand, one hundred three".