110201010122100 has 144 divisors (see below), whose sum is σ = 321366290685440. Its totient is φ = 29155490697600.

The previous prime is 110201010122069. The next prime is 110201010122123. The reversal of 110201010122100 is 1221010102011.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 25948521 + ... + 29895279.

Almost surely, 2^{110201010122100} is an apocalyptic number.

110201010122100 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 110201010122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160683145342720).

110201010122100 is an abundant number, since it is smaller than the sum of its proper divisors (211165280563340).

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

110201010122100 is a wasteful number, since it uses less digits than its factorization.

110201010122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3947510 (or 3947503 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 110201010122100 its reverse (1221010102011), we get a palindrome (111422020224111).

The spelling of 110201010122100 in words is "one hundred ten trillion, two hundred one billion, ten million, one hundred twenty-two thousand, one hundred".