10221103210131 has 16 divisors (see below), whose sum is σ = 16518954683520. Its totient is φ = 6194608005960.

The previous prime is 10221103210103. The next prime is 10221103210163. The reversal of 10221103210131 is 13101230112201.

10221103210131 is a `hidden beast` number, since 1 + 0 + 2 + 211 + 0 + 321 + 0 + 131 = 666.

It is a de Polignac number, because none of the positive numbers 2^k-10221103210131 is a prime.

It is a super-2 number, since 2×10221103210131² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10221103210631) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17207244165 + ... + 17207244758.

It is an arithmetic number, because the mean of its divisors is an integer number (1032434667720).

Almost surely, 2^{10221103210131} is an apocalyptic number.

10221103210131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10221103210131 is a deficient number, since it is larger than the sum of its proper divisors (6297851473389).

10221103210131 is a wasteful number, since it uses less digits than its factorization.

10221103210131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34414488943 (or 34414488937 counting only the distinct ones).

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

Adding to 10221103210131 its reverse (13101230112201), we get a palindrome (23322333322332).

The spelling of 10221103210131 in words is "ten trillion, two hundred twenty-one billion, one hundred three million, two hundred ten thousand, one hundred thirty-one".