101011100212205 has 12 divisors (see below), whose sum is σ = 124577897450580. Its totient is φ = 78624856376064.

The previous prime is 101011100212177. The next prime is 101011100212207. The reversal of 101011100212205 is 502212001110101.

It can be written as a sum of positive squares in 6 ways, for example, as 36566378316196 + 64444721896009 = 6047014^2 + 8027747^2 .

It is not a de Polignac number, because 101011100212205 - 2¹⁴ = 101011100195821 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101011100212207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7378451900 + ... + 7378465589.

It is an arithmetic number, because the mean of its divisors is an integer number (10381491454215).

Almost surely, 2^{101011100212205} is an apocalyptic number.

It is an amenable number.

101011100212205 is a deficient number, since it is larger than the sum of its proper divisors (23566797238375).

101011100212205 is an equidigital number, since it uses as much as digits as its factorization.

101011100212205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14756917568 (or 14756917531 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 17.

Adding to 101011100212205 its reverse (502212001110101), we get a palindrome (603223101322306).

The spelling of 101011100212205 in words is "one hundred one trillion, eleven billion, one hundred million, two hundred twelve thousand, two hundred five".