10103001301020 has 192 divisors, whose sum is σ = 29852089344000. Its totient is φ = 2545932259584.

The previous prime is 10103001300923. The next prime is 10103001301051. The reversal of 10103001301020 is 2010310030101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10103001300987 and 10103001301005.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 778404891 + ... + 778417869.

It is an arithmetic number, because the mean of its divisors is an integer number (155479632000).

Almost surely, 2^{10103001301020} is an apocalyptic number.

10103001301020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10103001301020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14926044672000).

10103001301020 is an abundant number, since it is smaller than the sum of its proper divisors (19749088042980).

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

10103001301020 is a wasteful number, since it uses less digits than its factorization.

10103001301020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14672 (or 14670 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 10103001301020 its reverse (2010310030101), we get a palindrome (12113311331121).

The spelling of 10103001301020 in words is "ten trillion, one hundred three billion, one million, three hundred one thousand, twenty".