103312121010120 has 192 divisors, whose sum is σ = 376188116840640. Its totient is φ = 24368460940800.

The previous prime is 103312121010101. The next prime is 103312121010151. The reversal of 103312121010120 is 21010121213301.

103312121010120 is a `hidden beast` number, since 1 + 0 + 331 + 2 + 1 + 210 + 1 + 0 + 120 = 666.

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 = 103312121010093 and 103312121010102.

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, 352406446 + ... + 352699485.

It is an arithmetic number, because the mean of its divisors is an integer number (1959313108545).

Almost surely, 2^{103312121010120} is an apocalyptic number.

103312121010120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103312121010120 is an abundant number, since it is smaller than the sum of its proper divisors (272875995830520).

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

103312121010120 is a wasteful number, since it uses less digits than its factorization.

103312121010120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705105996 (or 705105989 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 103312121010120 its reverse (21010121213301), we get a palindrome (124322242223421).

The spelling of 103312121010120 in words is "one hundred three trillion, three hundred twelve billion, one hundred twenty-one million, ten thousand, one hundred twenty".