103102010100020 has 24 divisors (see below), whose sum is σ = 219480169448904. Its totient is φ = 40675861518336.

The previous prime is 103102010100017. The next prime is 103102010100079. The reversal of 103102010100020 is 20001010201301.

It can be written as a sum of positive squares in 4 ways, for example, as 24143111182096 + 78958898917924 = 4913564^2 + 8885882^2 .

It is a junction number, because it is equal to n+sod(n) for n = 103102010099974 and 103102010100010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35308906109 + ... + 35308909028.

It is an arithmetic number, because the mean of its divisors is an integer number (9145007060371).

Almost surely, 2^{103102010100020} is an apocalyptic number.

103102010100020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103102010100020 is an abundant number, since it is smaller than the sum of its proper divisors (116378159348884).

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

103102010100020 is a wasteful number, since it uses less digits than its factorization.

103102010100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70617815219 (or 70617815217 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 103102010100020 its reverse (20001010201301), we get a palindrome (123103020301321).

The spelling of 103102010100020 in words is "one hundred three trillion, one hundred two billion, ten million, one hundred thousand, twenty".