10221220122113 has 32 divisors (see below), whose sum is σ = 13784052925440. Its totient is φ = 7319539056960.

The previous prime is 10221220122097. The next prime is 10221220122203. The reversal of 10221220122113 is 31122102212201.

It is not a de Polignac number, because 10221220122113 - 2⁴ = 10221220122097 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10221220122013) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22263983 + ... + 22718436.

It is an arithmetic number, because the mean of its divisors is an integer number (430751653920).

Almost surely, 2^{10221220122113} is an apocalyptic number.

10221220122113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10221220122113 is a deficient number, since it is larger than the sum of its proper divisors (3562832803327).

10221220122113 is a wasteful number, since it uses less digits than its factorization.

10221220122113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44982677.

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 10221220122113 its reverse (31122102212201), we get a palindrome (41343322334314).

The spelling of 10221220122113 in words is "ten trillion, two hundred twenty-one billion, two hundred twenty million, one hundred twenty-two thousand, one hundred thirteen".