10120010000221 has 16 divisors (see below), whose sum is σ = 11479323852288. Its totient is φ = 8838247449600.

The previous prime is 10120010000183. The next prime is 10120010000227. The reversal of 10120010000221 is 12200001002101.

It is a cyclic number.

It is not a de Polignac number, because 10120010000221 - 2²⁷ = 10119875782493 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10120010000198 and 10120010000207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10120010000227) 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, 108265140 + ... + 108358573.

It is an arithmetic number, because the mean of its divisors is an integer number (717457740768).

Almost surely, 2^{10120010000221} is an apocalyptic number.

10120010000221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10120010000221 is a deficient number, since it is larger than the sum of its proper divisors (1359313852067).

10120010000221 is a wasteful number, since it uses less digits than its factorization.

10120010000221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216623892.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10120010000221 its reverse (12200001002101), we get a palindrome (22320011002322).

The spelling of 10120010000221 in words is "ten trillion, one hundred twenty billion, ten million, two hundred twenty-one", and thus it is an aban number.