101050101 has 12 divisors (see below), whose sum is σ = 146048812. Its totient is φ = 67326336.

The previous prime is 101050097. The next prime is 101050127.

101050101 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 45562500 + 55487601 = 6750^2 + 7449^2 .

It is not a de Polignac number, because 101050101 - 2² = 101050097 is a prime.

It is a super-2 number, since 2×101050101² = 20422245824220402, which contains 22 as substring.

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

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101050501) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25485 + ... + 29181.

Almost surely, 2^101050101 is an apocalyptic number.

It is an amenable number.

101050101 is a deficient number, since it is larger than the sum of its proper divisors (44998711).

101050101 is a wasteful number, since it uses less digits than its factorization.

101050101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6740 (or 6737 counting only the distinct ones).

The product of its (nonzero) digits is 5, while the sum is 9.

The square root of 101050101 is about 10052.3679299954. The cubic root of 101050101 is about 465.7779416267. Note that the first 3 decimals are identical.

The spelling of 101050101 in words is "one hundred one million, fifty thousand, one hundred one".