1001121002201 has 8 divisors (see below), whose sum is σ = 1042238869320. Its totient is φ = 960442898688.

The previous prime is 1001121002183. The next prime is 1001121002263. The reversal of 1001121002201 is 1022001211001.

It can be written as a sum of positive squares in 4 ways, for example, as 21316000000 + 979805002201 = 146000^2 + 989851^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1001121002201 is a prime.

It is a super-3 number, since 3×1001121002201³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1001121002281) 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, 109936256 + ... + 109945361.

It is an arithmetic number, because the mean of its divisors is an integer number (130279858665).

Almost surely, 2^{1001121002201} is an apocalyptic number.

It is an amenable number.

1001121002201 is a deficient number, since it is larger than the sum of its proper divisors (41117867119).

1001121002201 is a wasteful number, since it uses less digits than its factorization.

1001121002201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219881803.

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

Adding to 1001121002201 its reverse (1022001211001), we get a palindrome (2023122213202).

The spelling of 1001121002201 in words is "one trillion, one billion, one hundred twenty-one million, two thousand, two hundred one".