1011121221000 has 512 divisors, whose sum is σ = 3643103692800. Its totient is φ = 231154560000.

The previous prime is 1011121220929. The next prime is 1011121221013. The reversal of 1011121221000 is 1221211101.

It is a super-2 number, since 2×1011121221000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 41138715 + ... + 41163285.

It is an arithmetic number, because the mean of its divisors is an integer number (7115436900).

Almost surely, 2^{1011121221000} is an apocalyptic number.

1011121221000 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 1011121221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1821551846400).

1011121221000 is an abundant number, since it is smaller than the sum of its proper divisors (2631982471800).

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

1011121221000 is a wasteful number, since it uses less digits than its factorization.

1011121221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24678 (or 24664 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1011121221000 its reverse (1221211101), we get a palindrome (1012342432101).

The spelling of 1011121221000 in words is "one trillion, eleven billion, one hundred twenty-one million, two hundred twenty-one thousand".