101009101 has 4 divisors (see below), whose sum is σ = 101935900. Its totient is φ = 100082304.

The previous prime is 101009057. The next prime is 101009137. The reversal of 101009101 is 101900101.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 37822500 + 63186601 = 6150^2 + 7949^2 .

It is a cyclic number.

It is not a de Polignac number, because 101009101 - 2¹⁵ = 100976333 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 (101003101) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 463236 + ... + 463453.

It is an arithmetic number, because the mean of its divisors is an integer number (25483975).

Almost surely, 2^101009101 is an apocalyptic number.

It is an amenable number.

101009101 is a deficient number, since it is larger than the sum of its proper divisors (926799).

101009101 is an equidigital number, since it uses as much as digits as its factorization.

101009101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 926798.

The product of its (nonzero) digits is 9, while the sum is 13.

The square root of 101009101 is about 10050.3284025946. The cubic root of 101009101 is about 465.7149382954.

Adding to 101009101 its reverse (101900101), we get a palindrome (202909202).

The spelling of 101009101 in words is "one hundred one million, nine thousand, one hundred one".