10102220101 has 2 divisors, whose sum is σ = 10102220102. Its totient is φ = 10102220100.

The previous prime is 10102220087. The next prime is 10102220111.

10102220101 is nontrivially palindromic in base 10.

It is an a-pointer prime, because the next prime (10102220111) can be obtained adding 10102220101 to its sum of digits (10).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8390743201 + 1711476900 = 91601^2 + 41370^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 10102220101 - 2¹³ = 10102211909 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10102220111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5051110050 + 5051110051.

It is an arithmetic number, because the mean of its divisors is an integer number (5051110051).

Almost surely, 2^10102220101 is an apocalyptic number.

It is an amenable number.

10102220101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10102220101 is an equidigital number, since it uses as much as digits as its factorization.

10102220101 is an odious number, because the sum of its binary digits is odd.

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

The spelling of 10102220101 in words is "ten billion, one hundred two million, two hundred twenty thousand, one hundred one".