101020121100205 has 8 divisors (see below), whose sum is σ = 121456821226104. Its totient is φ = 80660979609600.

The previous prime is 101020121100203. The next prime is 101020121100209. The reversal of 101020121100205 is 502001121020101.

It can be written as a sum of positive squares in 4 ways, for example, as 1754188993764 + 99265932106441 = 1324458^2 + 9963229^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 101020121100205 - 2¹ = 101020121100203 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 (101020121100203) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19389655956 + ... + 19389661165.

It is an arithmetic number, because the mean of its divisors is an integer number (15182102653263).

Almost surely, 2^{101020121100205} is an apocalyptic number.

It is an amenable number.

101020121100205 is a deficient number, since it is larger than the sum of its proper divisors (20436700125899).

101020121100205 is an equidigital number, since it uses as much as digits as its factorization.

101020121100205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38779317647.

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

Adding to 101020121100205 its reverse (502001121020101), we get a palindrome (603021242120306).

The spelling of 101020121100205 in words is "one hundred one trillion, twenty billion, one hundred twenty-one million, one hundred thousand, two hundred five".