110021111011100 has 144 divisors (see below), whose sum is σ = 249649542448320. Its totient is φ = 42086173536000.

The previous prime is 110021111011099. The next prime is 110021111011111. The reversal of 110021111011100 is 1110111120011.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11112116150 + ... + 11112126050.

Almost surely, 2^{110021111011100} is an apocalyptic number.

110021111011100 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 110021111011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124824771224160).

110021111011100 is an abundant number, since it is smaller than the sum of its proper divisors (139628431437220).

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

110021111011100 is an equidigital number, since it uses as much as digits as its factorization.

110021111011100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19117 (or 19064 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 110021111011100 its reverse (1110111120011), we get a palindrome (111131222131111).

The spelling of 110021111011100 in words is "one hundred ten trillion, twenty-one billion, one hundred eleven million, eleven thousand, one hundred".