101022101 has 6 divisors (see below), whose sum is σ = 102766902. Its totient is φ = 99306440.

The previous prime is 101022083. The next prime is 101022169. The reversal of 101022101 is 101220101.

It can be written as a sum of positive squares in only one way, i.e., 100600900 + 421201 = 10030^2 + 649^2 .

It is not a de Polignac number, because 101022101 - 2¹⁰ = 101021077 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 (101022301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11030 + ... + 17991.

It is an arithmetic number, because the mean of its divisors is an integer number (17127817).

Almost surely, 2^101022101 is an apocalyptic number.

It is an amenable number.

101022101 is a deficient number, since it is larger than the sum of its proper divisors (1744801).

101022101 is an frugal number, since it uses more digits than its factorization.

101022101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29139 (or 29080 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 101022101 is about 10050.9751268223. The cubic root of 101022101 is about 465.7349168070.

Adding to 101022101 its reverse (101220101), we get a palindrome (202242202).

The spelling of 101022101 in words is "one hundred one million, twenty-two thousand, one hundred one".