101122101 has 20 divisors (see below), whose sum is σ = 156271500. Its totient is φ = 65088576.

The previous prime is 101122081. The next prime is 101122117. The reversal of 101122101 is 101221101.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 74805201 + 26316900 = 8649^2 + 5130^2 .

It is not a de Polignac number, because 101122101 - 2⁶ = 101122037 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101122121) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 19176 + ... + 23873.

It is an arithmetic number, because the mean of its divisors is an integer number (7813575).

Almost surely, 2^101122101 is an apocalyptic number.

It is an amenable number.

101122101 is a deficient number, since it is larger than the sum of its proper divisors (55149399).

101122101 is an equidigital number, since it uses as much as digits as its factorization.

101122101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43090 (or 43081 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 101122101 is about 10055.9485380545. The cubic root of 101122101 is about 465.8885403944. Note that the first 3 decimals are identical.

Adding to 101122101 its reverse (101221101), we get a palindrome (202343202).

The spelling of 101122101 in words is "one hundred one million, one hundred twenty-two thousand, one hundred one".