1001101220201 has 8 divisors (see below), whose sum is σ = 1007734702920. Its totient is φ = 994470991488.

The previous prime is 1001101220183. The next prime is 1001101220209. The reversal of 1001101220201 is 1020221011001.

It can be written as a sum of positive squares in 4 ways, for example, as 1303210000 + 999798010201 = 36100^2 + 999899^2 .

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 1001101220201 - 2¹⁸ = 1001100958057 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1001101220209) 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, 194606 + ... + 1428311.

It is an arithmetic number, because the mean of its divisors is an integer number (125966837865).

Almost surely, 2^{1001101220201} is an apocalyptic number.

It is an amenable number.

1001101220201 is a deficient number, since it is larger than the sum of its proper divisors (6633482719).

1001101220201 is a wasteful number, since it uses less digits than its factorization.

1001101220201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1627003.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 1001101220201 its reverse (1020221011001), we get a palindrome (2021322231202).

The spelling of 1001101220201 in words is "one trillion, one billion, one hundred one million, two hundred twenty thousand, two hundred one".