101200213221241 has 8 divisors (see below), whose sum is σ = 101251450133064. Its totient is φ = 101148982506240.

The previous prime is 101200213221209. The next prime is 101200213221251. The reversal of 101200213221241 is 142122312002101.

It can be written as a sum of positive squares in 4 ways, for example, as 206657523216 + 100993555698025 = 454596^2 + 10049555^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 101200213221241 - 2⁵ = 101200213221209 is a prime.

It is a super-2 number, since 2×101200213221241² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101200213221251) 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, 31297155 + ... + 34378951.

It is an arithmetic number, because the mean of its divisors is an integer number (12656431266633).

Almost surely, 2^{101200213221241} is an apocalyptic number.

It is an amenable number.

101200213221241 is a deficient number, since it is larger than the sum of its proper divisors (51236911823).

101200213221241 is a wasteful number, since it uses less digits than its factorization.

101200213221241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3098411.

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 101200213221241 its reverse (142122312002101), we get a palindrome (243322525223342).

The spelling of 101200213221241 in words is "one hundred one trillion, two hundred billion, two hundred thirteen million, two hundred twenty-one thousand, two hundred forty-one".