10102220012101 has 6 divisors (see below), whose sum is σ = 11751562054950. Its totient is φ = 8659045724616.

The previous prime is 10102220012029. The next prime is 10102220012201. The reversal of 10102220012101 is 10121002220101.

It can be written as a sum of positive squares in only one way, i.e., 9711163643076 + 391056369025 = 3116274^2 + 625345^2 .

It is not a de Polignac number, because 10102220012101 - 2¹⁵ = 10102219979333 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 (10102220012201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 103083877626 + ... + 103083877723.

It is an arithmetic number, because the mean of its divisors is an integer number (1958593675825).

Almost surely, 2^{10102220012101} is an apocalyptic number.

It is an amenable number.

10102220012101 is a deficient number, since it is larger than the sum of its proper divisors (1649342042849).

10102220012101 is an equidigital number, since it uses as much as digits as its factorization.

10102220012101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206167755363 (or 206167755356 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10102220012101 its reverse (10121002220101), we get a palindrome (20223222232202).

The spelling of 10102220012101 in words is "ten trillion, one hundred two billion, two hundred twenty million, twelve thousand, one hundred one".