10211121312 has 48 divisors (see below), whose sum is σ = 30633365952. Its totient is φ = 2917463040.

The previous prime is 10211121301. The next prime is 10211121317. The reversal of 10211121312 is 21312111201.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 10211121291 and 10211121300.

It is not an unprimeable number, because it can be changed into a prime (10211121317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7596889 + ... + 7598232.

It is an arithmetic number, because the mean of its divisors is an integer number (638195124).

Almost surely, 2^10211121312 is an apocalyptic number.

10211121312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10211121312 is an abundant number, since it is smaller than the sum of its proper divisors (20422244640).

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

10211121312 is a wasteful number, since it uses less digits than its factorization.

10211121312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15195141 (or 15195133 counting only the distinct ones).

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

Adding to 10211121312 its reverse (21312111201), we get a palindrome (31523232513).

The spelling of 10211121312 in words is "ten billion, two hundred eleven million, one hundred twenty-one thousand, three hundred twelve".