1011221100000 has 432 divisors, whose sum is σ = 3691610971776. Its totient is φ = 262362240000.

The previous prime is 1011221099957. The next prime is 1011221100007. The reversal of 1011221100000 is 11221101.

It is a happy number.

It is a super-2 number, since 2×1011221100000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011221100007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 33284817 + ... + 33315183.

It is an arithmetic number, because the mean of its divisors is an integer number (8545395768).

Almost surely, 2^{1011221100000} is an apocalyptic number.

1011221100000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1011221100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1845805485888).

1011221100000 is an abundant number, since it is smaller than the sum of its proper divisors (2680389871776).

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

1011221100000 is an equidigital number, since it uses as much as digits as its factorization.

1011221100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30445 (or 30414 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1011221100000 its reverse (11221101), we get a palindrome (1011232321101).

The spelling of 1011221100000 in words is "one trillion, eleven billion, two hundred twenty-one million, one hundred thousand".