103020213021120 has 336 divisors, whose sum is σ = 358631714881440. Its totient is φ = 27141018624000.

The previous prime is 103020213021113. The next prime is 103020213021163. The reversal of 103020213021120 is 21120312020301.

103020213021120 is a `hidden beast` number, since 1 + 0 + 302 + 0 + 2 + 130 + 211 + 20 = 666.

103020213021120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×103020213021120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 103020213021093 and 103020213021102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 133711551 + ... + 134479809.

It is an arithmetic number, because the mean of its divisors is an integer number (1067356294290).

Almost surely, 2^{103020213021120} is an apocalyptic number.

103020213021120 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 103020213021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179315857440720).

103020213021120 is an abundant number, since it is smaller than the sum of its proper divisors (255611501860320).

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

103020213021120 is a wasteful number, since it uses less digits than its factorization.

103020213021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 768844 (or 768831 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 103020213021120 its reverse (21120312020301), we get a palindrome (124140525041421).

The spelling of 103020213021120 in words is "one hundred three trillion, twenty billion, two hundred thirteen million, twenty-one thousand, one hundred twenty".