1022011001100 has 288 divisors, whose sum is σ = 3408067703040. Its totient is φ = 262549486080.

The previous prime is 1022011001071. The next prime is 1022011001147. The reversal of 1022011001100 is 11001102201.

It is a happy number.

1022011001100 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8415007 + ... + 8535593.

Almost surely, 2^{1022011001100} is an apocalyptic number.

1022011001100 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 1022011001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1704033851520).

1022011001100 is an abundant number, since it is smaller than the sum of its proper divisors (2386056701940).

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

1022011001100 is a wasteful number, since it uses less digits than its factorization.

1022011001100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120726 (or 120713 counting only the distinct ones).

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

Adding to 1022011001100 its reverse (11001102201), we get a palindrome (1033012103301).

The spelling of 1022011001100 in words is "one trillion, twenty-two billion, eleven million, one thousand, one hundred".