10020222000101 has 24 divisors (see below), whose sum is σ = 10379730916800. Its totient is φ = 9671994452736.

The previous prime is 10020222000083. The next prime is 10020222000119. The reversal of 10020222000101 is 10100022202001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10020222000083) and next prime (10020222000119).

It is not a de Polignac number, because 10020222000101 - 2¹⁰ = 10020221999077 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10020222000601) 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 23 ways as a sum of consecutive naturals, for example, 122457200 + ... + 122538998.

It is an arithmetic number, because the mean of its divisors is an integer number (432488788200).

Almost surely, 2^{10020222000101} is an apocalyptic number.

It is an amenable number.

10020222000101 is a deficient number, since it is larger than the sum of its proper divisors (359508916699).

10020222000101 is an frugal number, since it uses more digits than its factorization.

10020222000101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82665 (or 82622 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 10020222000101 its reverse (10100022202001), we get a palindrome (20120244202102).

The spelling of 10020222000101 in words is "ten trillion, twenty billion, two hundred twenty-two million, one hundred one", and thus it is an aban number.