101121110222201 has 8 divisors (see below), whose sum is σ = 101230795550280. Its totient is φ = 101011426693632.

The previous prime is 101121110222183. The next prime is 101121110222207. The reversal of 101121110222201 is 102222011121101.

It can be written as a sum of positive squares in 4 ways, for example, as 2823324075625 + 98297786146576 = 1680275^2 + 9914524^2 .

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 101121110222201 - 2²² = 101121106027897 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101121110222201.

It is not an unprimeable number, because it can be changed into a prime (101121110222207) 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, 133633751 + ... + 134388323.

It is an arithmetic number, because the mean of its divisors is an integer number (12653849443785).

Almost surely, 2^{101121110222201} is an apocalyptic number.

It is an amenable number.

101121110222201 is a deficient number, since it is larger than the sum of its proper divisors (109685328079).

101121110222201 is an equidigital number, since it uses as much as digits as its factorization.

101121110222201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 899755.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 101121110222201 its reverse (102222011121101), we get a palindrome (203343121343302).

The spelling of 101121110222201 in words is "one hundred one trillion, one hundred twenty-one billion, one hundred ten million, two hundred twenty-two thousand, two hundred one".