10120011122221 has 24 divisors (see below), whose sum is σ = 13830344879904. Its totient is φ = 7279128874080.

The previous prime is 10120011122209. The next prime is 10120011122239. The reversal of 10120011122221 is 12222111002101.

10120011122221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10120011122221 - 2⁹ = 10120011121709 is a prime.

It is a super-2 number, since 2×10120011122221² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10120011122195 and 10120011122204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10120011128221) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 722128795 + ... + 722142808.

It is an arithmetic number, because the mean of its divisors is an integer number (576264369996).

Almost surely, 2^{10120011122221} is an apocalyptic number.

10120011122221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10120011122221 is a deficient number, since it is larger than the sum of its proper divisors (3710333757683).

10120011122221 is a wasteful number, since it uses less digits than its factorization.

10120011122221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1444271641 (or 1444271634 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 10120011122221 its reverse (12222111002101), we get a palindrome (22342122124322).

The spelling of 10120011122221 in words is "ten trillion, one hundred twenty billion, eleven million, one hundred twenty-two thousand, two hundred twenty-one".