101025101 has 4 divisors (see below), whose sum is σ = 106967772. Its totient is φ = 95082432.

The previous prime is 101025091. The next prime is 101025139. The reversal of 101025101 is 101520101.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 101520101 = 2111 ⋅48091.

It can be written as a sum of positive squares in 2 ways, for example, as 78234025 + 22791076 = 8845^2 + 4774^2 .

It is a cyclic number.

It is not a de Polignac number, because 101025101 - 2¹⁴ = 101008717 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 (101025161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2971310 + ... + 2971343.

It is an arithmetic number, because the mean of its divisors is an integer number (26741943).

Almost surely, 2^101025101 is an apocalyptic number.

It is an amenable number.

101025101 is a deficient number, since it is larger than the sum of its proper divisors (5942671).

101025101 is an equidigital number, since it uses as much as digits as its factorization.

101025101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5942670.

The product of its (nonzero) digits is 10, while the sum is 11.

The square root of 101025101 is about 10051.1243649653. The cubic root of 101025101 is about 465.7395269894.

Adding to 101025101 its reverse (101520101), we get a palindrome (202545202).

The spelling of 101025101 in words is "one hundred one million, twenty-five thousand, one hundred one".