1022111011100 has 72 divisors (see below), whose sum is σ = 2262160472880. Its totient is φ = 400769441280.

The previous prime is 1022111011093. The next prime is 1022111011147. The reversal of 1022111011100 is 11101112201.

1022111011100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 760406 + ... + 1619394.

Almost surely, 2^{1022111011100} is an apocalyptic number.

1022111011100 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 1022111011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1131080236440).

1022111011100 is an abundant number, since it is smaller than the sum of its proper divisors (1240049461780).

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

1022111011100 is a wasteful number, since it uses less digits than its factorization.

1022111011100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 859239 (or 859232 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 1022111011100 its reverse (11101112201), we get a palindrome (1033212123301).

It can be divided in two parts, 102211101 and 1100, that added together give a palindrome (102212201).

The spelling of 1022111011100 in words is "one trillion, twenty-two billion, one hundred eleven million, eleven thousand, one hundred".