103311022120020 has 288 divisors, whose sum is σ = 368198496207360. Its totient is φ = 23116316129280.

The previous prime is 103311022120003. The next prime is 103311022120037. The reversal of 103311022120020 is 20021220113301.

103311022120020 is a `hidden beast` number, since 1 + 0 + 331 + 102 + 212 + 0 + 0 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (103311022120003) and next prime (103311022120037).

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 = 103311022119975 and 103311022120002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 273659232 + ... + 274036488.

It is an arithmetic number, because the mean of its divisors is an integer number (1278467000720).

Almost surely, 2^{103311022120020} is an apocalyptic number.

103311022120020 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 103311022120020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184099248103680).

103311022120020 is an abundant number, since it is smaller than the sum of its proper divisors (264887474087340).

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

103311022120020 is a wasteful number, since it uses less digits than its factorization.

103311022120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387935 (or 387930 counting only the distinct ones).

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

Adding to 103311022120020 its reverse (20021220113301), we get a palindrome (123332242233321).

The spelling of 103311022120020 in words is "one hundred three trillion, three hundred eleven billion, twenty-two million, one hundred twenty thousand, twenty".