101002101 has 12 divisors (see below), whose sum is σ = 135778272. Its totient is φ = 66782464.

The previous prime is 101002093. The next prime is 101002103. The reversal of 101002101 is 101200101.

It is not a de Polignac number, because 101002101 - 2³ = 101002093 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101002101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101002103) 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, 224725 + ... + 225173.

It is an arithmetic number, because the mean of its divisors is an integer number (11314856).

Almost surely, 2^101002101 is an apocalyptic number.

It is an amenable number.

101002101 is a deficient number, since it is larger than the sum of its proper divisors (34776171).

101002101 is an frugal number, since it uses more digits than its factorization.

101002101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1068 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

The square root of 101002101 is about 10049.9801492341. The cubic root of 101002101 is about 465.7041799253.

Adding to 101002101 its reverse (101200101), we get a palindrome (202202202).

The spelling of 101002101 in words is "one hundred one million, two thousand, one hundred one".