1011121222221 has 24 divisors (see below), whose sum is σ = 1593322844256. Its totient is φ = 612785003040.

The previous prime is 1011121222219. The next prime is 1011121222259. The reversal of 1011121222221 is 1222221211101.

1011121222221 is a `hidden beast` number, since 101 + 1 + 121 + 222 + 221 = 666.

It is not a de Polignac number, because 1011121222221 - 2¹ = 1011121222219 is a prime.

It is a super-3 number, since 3×1011121222221³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 1011121222194 and 1011121222203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011121222211) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4601371 + ... + 4816103.

It is an arithmetic number, because the mean of its divisors is an integer number (66388451844).

Almost surely, 2^{1011121222221} is an apocalyptic number.

1011121222221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1011121222221 is a deficient number, since it is larger than the sum of its proper divisors (582201622035).

1011121222221 is a wasteful number, since it uses less digits than its factorization.

1011121222221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262313 (or 262310 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 1011121222221 its reverse (1222221211101), we get a palindrome (2233342433322).

The spelling of 1011121222221 in words is "one trillion, eleven billion, one hundred twenty-one million, two hundred twenty-two thousand, two hundred twenty-one".