103012213033020 has 192 divisors, whose sum is σ = 297150007182336. Its totient is φ = 26653911736320.

The previous prime is 103012213032929. The next prime is 103012213033027. The reversal of 103012213033020 is 20330312210301.

It is a super-2 number, since 2×103012213033020² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103012213033027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 108518569 + ... + 109463711.

It is an arithmetic number, because the mean of its divisors is an integer number (1547656287408).

Almost surely, 2^{103012213033020} is an apocalyptic number.

103012213033020 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 103012213033020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148575003591168).

103012213033020 is an abundant number, since it is smaller than the sum of its proper divisors (194137794149316).

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

103012213033020 is a wasteful number, since it uses less digits than its factorization.

103012213033020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 945620 (or 945618 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 103012213033020 its reverse (20330312210301), we get a palindrome (123342525243321).

The spelling of 103012213033020 in words is "one hundred three trillion, twelve billion, two hundred thirteen million, thirty-three thousand, twenty".