1021112001100 has 108 divisors (see below), whose sum is σ = 2356435381608. Its totient is φ = 383992128000.

The previous prime is 1021112001073. The next prime is 1021112001109. The reversal of 1021112001100 is 11002111201.

1021112001100 is digitally balanced in base 2, because in such base 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 (10).

It is not an unprimeable number, because it can be changed into a prime (1021112001109) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4621140 + ... + 4837060.

It is an arithmetic number, because the mean of its divisors is an integer number (21818846126).

Almost surely, 2^{1021112001100} is an apocalyptic number.

1021112001100 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 1021112001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1178217690804).

1021112001100 is an abundant number, since it is smaller than the sum of its proper divisors (1335323380508).

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

1021112001100 is a wasteful number, since it uses less digits than its factorization.

1021112001100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216104 (or 216078 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 1021112001100 its reverse (11002111201), we get a palindrome (1032114112301).

The spelling of 1021112001100 in words is "one trillion, twenty-one billion, one hundred twelve million, one thousand, one hundred".