10112101000221 has 64 divisors (see below), whose sum is σ = 15769641056256. Its totient is φ = 5701185388800.

The previous prime is 10112101000171. The next prime is 10112101000237. The reversal of 10112101000221 is 12200010121101.

It is not a de Polignac number, because 10112101000221 - 2¹³ = 10112100992029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10112101000197 and 10112101000206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10112101000621) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 65834091 + ... + 65987511.

It is an arithmetic number, because the mean of its divisors is an integer number (246400641504).

Almost surely, 2^{10112101000221} is an apocalyptic number.

10112101000221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10112101000221 is a deficient number, since it is larger than the sum of its proper divisors (5657540056035).

10112101000221 is a wasteful number, since it uses less digits than its factorization.

10112101000221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155842.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10112101000221 its reverse (12200010121101), we get a palindrome (22312111121322).

The spelling of 10112101000221 in words is "ten trillion, one hundred twelve billion, one hundred one million, two hundred twenty-one", and thus it is an aban number.