111021100010100 has 648 divisors, whose sum is σ = 407495517477048. Its totient is φ = 25207938201600.

The previous prime is 111021100010077. The next prime is 111021100010111. The reversal of 111021100010100 is 1010001120111.

It can be written as a sum of positive squares in 12 ways, for example, as 5010765848676 + 106010334161424 = 2238474^2 + 10296132^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 5742560034 + ... + 5742579366.

Almost surely, 2^{111021100010100} is an apocalyptic number.

111021100010100 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 111021100010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203747758738524).

111021100010100 is an abundant number, since it is smaller than the sum of its proper divisors (296474417466948).

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

111021100010100 is a wasteful number, since it uses less digits than its factorization.

111021100010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20225 (or 20208 counting only the distinct ones).

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

Adding to 111021100010100 its reverse (1010001120111), we get a palindrome (112031101130211).

The spelling of 111021100010100 in words is "one hundred eleven trillion, twenty-one billion, one hundred million, ten thousand, one hundred".