101021112205 has 64 divisors (see below), whose sum is σ = 144164579328. Its totient is φ = 67244359680.

The previous prime is 101021112167. The next prime is 101021112221. The reversal of 101021112205 is 502211120101.

It is not a de Polignac number, because 101021112205 - 2²⁷ = 100886894477 is a prime.

It is a super-2 number, since 2×101021112205² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3307534 + ... + 3337936.

It is an arithmetic number, because the mean of its divisors is an integer number (2252571552).

Almost surely, 2^101021112205 is an apocalyptic number.

It is an amenable number.

101021112205 is a deficient number, since it is larger than the sum of its proper divisors (43143467123).

101021112205 is a wasteful number, since it uses less digits than its factorization.

101021112205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30566.

The product of its (nonzero) digits is 40, while the sum is 16.

Adding to 101021112205 its reverse (502211120101), we get a palindrome (603232232306).

The spelling of 101021112205 in words is "one hundred one billion, twenty-one million, one hundred twelve thousand, two hundred five".