110012122023100 has 216 divisors, whose sum is σ = 268195954360320. Its totient is φ = 39122379331200.

The previous prime is 110012122023077. The next prime is 110012122023107. The reversal of 110012122023100 is 1320221210011.

It is a super-3 number, since 3×110012122023100³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110012122023107) 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, 727291677 + ... + 727442923.

Almost surely, 2^{110012122023100} is an apocalyptic number.

110012122023100 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 110012122023100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134097977180160).

110012122023100 is an abundant number, since it is smaller than the sum of its proper divisors (158183832337220).

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

110012122023100 is a wasteful number, since it uses less digits than its factorization.

110012122023100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152609 (or 152591 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 110012122023100 its reverse (1320221210011), we get a palindrome (111332343233111).

The spelling of 110012122023100 in words is "one hundred ten trillion, twelve billion, one hundred twenty-two million, twenty-three thousand, one hundred".