1021111001100 has 108 divisors (see below), whose sum is σ = 3202294191096. Its totient is φ = 272153468160.

The previous prime is 1021111001087. The next prime is 1021111001123. The reversal of 1021111001100 is 11001111201.

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 35 ways as a sum of consecutive naturals, for example, 1425159 + ... + 2018241.

Almost surely, 2^{1021111001100} is an apocalyptic number.

1021111001100 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 1021111001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1601147095548).

1021111001100 is an abundant number, since it is smaller than the sum of its proper divisors (2181183189996).

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

1021111001100 is a wasteful number, since it uses less digits than its factorization.

1021111001100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 595016 (or 595006 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 1021111001100 its reverse (11001111201), we get a palindrome (1032112112301).

The spelling of 1021111001100 in words is "one trillion, twenty-one billion, one hundred eleven million, one thousand, one hundred".