101027205 has 48 divisors (see below), whose sum is σ = 183815424. Its totient is φ = 51269760.

The previous prime is 101027197. The next prime is 101027207. The reversal of 101027205 is 502720101.

It is not a de Polignac number, because 101027205 - 2³ = 101027197 is a prime.

It is a super-2 number, since 2×101027205² = 20412992300224050, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101027207) 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 47 ways as a sum of consecutive naturals, for example, 77610 + ... + 78900.

It is an arithmetic number, because the mean of its divisors is an integer number (3829488).

Almost surely, 2^101027205 is an apocalyptic number.

101027205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101027205 is a deficient number, since it is larger than the sum of its proper divisors (82788219).

101027205 is a wasteful number, since it uses less digits than its factorization.

101027205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1386 (or 1383 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 101027205 is about 10051.2290293277. The cubic root of 101027205 is about 465.7427602095.

Adding to 101027205 its reverse (502720101), we get a palindrome (603747306).

The spelling of 101027205 in words is "one hundred one million, twenty-seven thousand, two hundred five".