1022001121100 has 144 divisors (see below), whose sum is σ = 2335560514560. Its totient is φ = 387659193600.

The previous prime is 1022001121093. The next prime is 1022001121111. The reversal of 1022001121100 is 11211002201.

1022001121100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57970487 + ... + 57988113.

It is an arithmetic number, because the mean of its divisors is an integer number (16219170240).

Almost surely, 2^{1022001121100} is an apocalyptic number.

1022001121100 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 1022001121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1167780257280).

1022001121100 is an abundant number, since it is smaller than the sum of its proper divisors (1313559393460).

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

1022001121100 is a wasteful number, since it uses less digits than its factorization.

1022001121100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18048 (or 18041 counting only the distinct ones).

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

Adding to 1022001121100 its reverse (11211002201), we get a palindrome (1033212123301).

The spelling of 1022001121100 in words is "one trillion, twenty-two billion, one million, one hundred twenty-one thousand, one hundred".