10211112120321 has 48 divisors (see below), whose sum is σ = 17146198787328. Its totient is φ = 5734769673600.

The previous prime is 10211112120317. The next prime is 10211112120421. The reversal of 10211112120321 is 12302121111201.

It is a happy number.

10211112120321 is a `hidden beast` number, since 1 + 0 + 21 + 111 + 212 + 0 + 321 = 666.

It is not a de Polignac number, because 10211112120321 - 2² = 10211112120317 is a prime.

It is a super-2 number, since 2×10211112120321² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10211112120294 and 10211112120303.

It is not an unprimeable number, because it can be changed into a prime (10211112120301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3867156 + ... + 5947866.

It is an arithmetic number, because the mean of its divisors is an integer number (357212474736).

Almost surely, 2^{10211112120321} is an apocalyptic number.

It is an amenable number.

10211112120321 is a deficient number, since it is larger than the sum of its proper divisors (6935086667007).

10211112120321 is a wasteful number, since it uses less digits than its factorization.

10211112120321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2082062 (or 2082059 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 10211112120321 its reverse (12302121111201), we get a palindrome (22513233231522).

The spelling of 10211112120321 in words is "ten trillion, two hundred eleven billion, one hundred twelve million, one hundred twenty thousand, three hundred twenty-one".