1110100201056 has 432 divisors, whose sum is σ = 4021472302848. Its totient is φ = 287230809600.

The previous prime is 1110100200971. The next prime is 1110100201057. The reversal of 1110100201056 is 6501020010111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1110100201057) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 40812421 + ... + 40839611.

It is an arithmetic number, because the mean of its divisors is an integer number (9308963664).

Almost surely, 2^{1110100201056} is an apocalyptic number.

1110100201056 is a gapful number since it is divisible by the number (16) 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 1110100201056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2010736151424).

1110100201056 is an abundant number, since it is smaller than the sum of its proper divisors (2911372101792).

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

1110100201056 is a wasteful number, since it uses less digits than its factorization.

1110100201056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27495 (or 27477 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 18.

Adding to 1110100201056 its reverse (6501020010111), we get a palindrome (7611120211167).

The spelling of 1110100201056 in words is "one trillion, one hundred ten billion, one hundred million, two hundred one thousand, fifty-six".