1001122101221 has 8 divisors (see below), whose sum is σ = 1092143043264. Its totient is φ = 910102799520.

The previous prime is 1001122101209. The next prime is 1001122101227. The reversal of 1001122101221 is 1221012211001.

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 1001122101221 - 2¹⁰ = 1001122100197 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1001122101196 and 1001122101205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001122101227) 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, 1111520 + ... + 1799366.

It is an arithmetic number, because the mean of its divisors is an integer number (136517880408).

Almost surely, 2^{1001122101221} is an apocalyptic number.

1001122101221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1001122101221 is a deficient number, since it is larger than the sum of its proper divisors (91020942043).

1001122101221 is a wasteful number, since it uses less digits than its factorization.

1001122101221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 820171.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 1001122101221 its reverse (1221012211001), we get a palindrome (2222134312222).

It can be divided in two parts, 1001 and 122101221, that multiplied together give a palindrome (122223322221).

The spelling of 1001122101221 in words is "one trillion, one billion, one hundred twenty-two million, one hundred one thousand, two hundred twenty-one".