1003212113121 has 12 divisors (see below), whose sum is σ = 1449171157200. Its totient is φ = 668767924440.

The previous prime is 1003212113117. The next prime is 1003212113153. The reversal of 1003212113121 is 1213112123001.

1003212113121 is a `hidden beast` number, since 10 + 0 + 321 + 21 + 1 + 312 + 1 = 666.

It is not a de Polignac number, because 1003212113121 - 2² = 1003212113117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1003212113094 and 1003212113103.

It is not an unprimeable number, because it can be changed into a prime (1003212112121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3187275 + ... + 3487856.

It is an arithmetic number, because the mean of its divisors is an integer number (120764263100).

Almost surely, 2^{1003212113121} is an apocalyptic number.

It is an amenable number.

1003212113121 is a deficient number, since it is larger than the sum of its proper divisors (445959044079).

1003212113121 is a wasteful number, since it uses less digits than its factorization.

1003212113121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6691836 (or 6691833 counting only the distinct ones).

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

Adding to 1003212113121 its reverse (1213112123001), we get a palindrome (2216324236122).

The spelling of 1003212113121 in words is "one trillion, three billion, two hundred twelve million, one hundred thirteen thousand, one hundred twenty-one".