1022111021100 has 576 divisors, whose sum is σ = 3469222955520. Its totient is φ = 230169600000.

The previous prime is 1022111021077. The next prime is 1022111021149. The reversal of 1022111021100 is 11201112201.

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 191 ways as a sum of consecutive naturals, for example, 306846435 + ... + 306849765.

It is an arithmetic number, because the mean of its divisors is an integer number (6022956520).

Almost surely, 2^{1022111021100} is an apocalyptic number.

1022111021100 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 1022111021100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1734611477760).

1022111021100 is an abundant number, since it is smaller than the sum of its proper divisors (2447111934420).

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

1022111021100 is a wasteful number, since it uses less digits than its factorization.

1022111021100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3522 (or 3515 counting only the distinct ones).

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

Adding to 1022111021100 its reverse (11201112201), we get a palindrome (1033312133301).

The spelling of 1022111021100 in words is "one trillion, twenty-two billion, one hundred eleven million, twenty-one thousand, one hundred".