101212101 has 12 divisors (see below), whose sum is σ = 154795212. Its totient is φ = 63505536.

The previous prime is 101212087. The next prime is 101212127.

It is a happy number.

101212101 is nontrivially palindromic in base 10.

101212101 is an esthetic number in base 10, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in 2 ways, for example, as 87329025 + 13883076 = 9345^2 + 3726^2 .

It is not a de Polignac number, because 101212101 - 2⁶ = 101212037 is a prime.

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (101212141) 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 11 ways as a sum of consecutive naturals, for example, 330606 + ... + 330911.

It is an arithmetic number, because the mean of its divisors is an integer number (12899601).

Almost surely, 2^101212101 is an apocalyptic number.

It is an amenable number.

101212101 is a deficient number, since it is larger than the sum of its proper divisors (53583111).

101212101 is a wasteful number, since it uses less digits than its factorization.

101212101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661540 (or 661537 counting only the distinct ones).

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

The square root of 101212101 is about 10060.4225060382. The cubic root of 101212101 is about 466.0267150531.

The spelling of 101212101 in words is "one hundred one million, two hundred twelve thousand, one hundred one".