10120010022221 has 32 divisors (see below), whose sum is σ = 11214471355392. Its totient is φ = 9055162575360.

The previous prime is 10120010022211. The next prime is 10120010022229. The reversal of 10120010022221 is 12222001002101.

It is a de Polignac number, because none of the positive numbers 2^k-10120010022221 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10120010022196 and 10120010022205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10120010022229) 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, 2014731716 + ... + 2014736738.

It is an arithmetic number, because the mean of its divisors is an integer number (350452229856).

Almost surely, 2^{10120010022221} is an apocalyptic number.

10120010022221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10120010022221 is a deficient number, since it is larger than the sum of its proper divisors (1094461333171).

10120010022221 is a wasteful number, since it uses less digits than its factorization.

10120010022221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9813.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10120010022221 its reverse (12222001002101), we get a palindrome (22342011024322).

The spelling of 10120010022221 in words is "ten trillion, one hundred twenty billion, ten million, twenty-two thousand, two hundred twenty-one".