1011102221000 has 32 divisors (see below), whose sum is σ = 2365979199480. Its totient is φ = 404440888000.

The previous prime is 1011102220991. The next prime is 1011102221009. The reversal of 1011102221000 is 1222011101.

It is an interprime number because it is at equal distance from previous prime (1011102220991) and next prime (1011102221009).

It can be written as a sum of positive squares in 4 ways, for example, as 211068574084 + 800033646916 = 459422^2 + 894446^2 .

It is a super-2 number, since 2×1011102221000² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1011102221009) 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 7 ways as a sum of consecutive naturals, for example, 505550111 + ... + 505552110.

Almost surely, 2^{1011102221000} is an apocalyptic number.

1011102221000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1011102221000 is an abundant number, since it is smaller than the sum of its proper divisors (1354876978480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1011102221000 is a wasteful number, since it uses less digits than its factorization.

1011102221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1011102242 (or 1011102228 counting only the distinct ones).

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

Adding to 1011102221000 its reverse (1222011101), we get a palindrome (1012324232101).

The spelling of 1011102221000 in words is "one trillion, eleven billion, one hundred two million, two hundred twenty-one thousand".