103111120021200 has 240 divisors, whose sum is σ = 350923758430080. Its totient is φ = 25830632540160.

The previous prime is 103111120021187. The next prime is 103111120021249. The reversal of 103111120021200 is 2120021111301.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×103111120021200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 103111120021200.

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, 38752444 + ... + 41327643.

It is an arithmetic number, because the mean of its divisors is an integer number (1462182326792).

Almost surely, 2^{103111120021200} is an apocalyptic number.

103111120021200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103111120021200 is an abundant number, since it is smaller than the sum of its proper divisors (247812638408880).

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

103111120021200 is a wasteful number, since it uses less digits than its factorization.

103111120021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80080174 (or 80080163 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 103111120021200 its reverse (2120021111301), we get a palindrome (105231141132501).

The spelling of 103111120021200 in words is "one hundred three trillion, one hundred eleven billion, one hundred twenty million, twenty-one thousand, two hundred".