1020112000221 has 32 divisors (see below), whose sum is σ = 1408932569088. Its totient is φ = 656100193280.

The previous prime is 1020112000153. The next prime is 1020112000273. The reversal of 1020112000221 is 1220002110201.

It is a cyclic number.

It is not a de Polignac number, because 1020112000221 - 2¹⁵ = 1020111967453 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1020112000197 and 1020112000206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020112000021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97772221 + ... + 97782653.

It is an arithmetic number, because the mean of its divisors is an integer number (44029142784).

Almost surely, 2^{1020112000221} is an apocalyptic number.

It is an amenable number.

1020112000221 is a deficient number, since it is larger than the sum of its proper divisors (388820568867).

1020112000221 is a wasteful number, since it uses less digits than its factorization.

1020112000221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20321.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1020112000221 its reverse (1220002110201), we get a palindrome (2240114110422).

The spelling of 1020112000221 in words is "one trillion, twenty billion, one hundred twelve million, two hundred twenty-one", and thus it is an aban number.