1020100221221 has 4 divisors (see below), whose sum is σ = 1020102348000. Its totient is φ = 1020098094444.

The previous prime is 1020100221199. The next prime is 1020100221233. The reversal of 1020100221221 is 1221220010201.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1020100221221 is a prime.

It is a super-2 number, since 2×1020100221221² (a number of 25 digits) contains 22 as substring.

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 = 1020100221196 and 1020100221205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020100221521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 32630 + ... + 1428728.

It is an arithmetic number, because the mean of its divisors is an integer number (255025587000).

Almost surely, 2^{1020100221221} is an apocalyptic number.

It is an amenable number.

1020100221221 is a deficient number, since it is larger than the sum of its proper divisors (2126779).

1020100221221 is an equidigital number, since it uses as much as digits as its factorization.

1020100221221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2126778.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1020100221221 its reverse (1221220010201), we get a palindrome (2241320231422).

The spelling of 1020100221221 in words is "one trillion, twenty billion, one hundred million, two hundred twenty-one thousand, two hundred twenty-one".