10121312103120 has 120 divisors (see below), whose sum is σ = 34909408548456. Its totient is φ = 2626070160384.

The previous prime is 10121312103113. The next prime is 10121312103121. The reversal of 10121312103120 is 2130121312101.

10121312103120 is a `hidden beast` number, since 1 + 0 + 12 + 131 + 210 + 312 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5925271219344 + 4196040883776 = 2434188^2 + 2048424^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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 = 10121312103093 and 10121312103102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10121312103121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 189937927 + ... + 189991206.

Almost surely, 2^{10121312103120} is an apocalyptic number.

10121312103120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10121312103120 is an abundant number, since it is smaller than the sum of its proper divisors (24788096445336).

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

10121312103120 is a wasteful number, since it uses less digits than its factorization.

10121312103120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379929189 (or 379929180 counting only the distinct ones).

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

Adding to 10121312103120 its reverse (2130121312101), we get a palindrome (12251433415221).

The spelling of 10121312103120 in words is "ten trillion, one hundred twenty-one billion, three hundred twelve million, one hundred three thousand, one hundred twenty".