110201201012100 has 144 divisors (see below), whose sum is σ = 347874650597376. Its totient is φ = 26712402192000.

The previous prime is 110201201012083. The next prime is 110201201012159. The reversal of 110201201012100 is 1210102102011.

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

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, 27167205 + ... + 30958995.

It is an arithmetic number, because the mean of its divisors is an integer number (2415796184704).

Almost surely, 2^{110201201012100} is an apocalyptic number.

110201201012100 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 110201201012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173937325298688).

110201201012100 is an abundant number, since it is smaller than the sum of its proper divisors (237673449585276).

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

110201201012100 is a wasteful number, since it uses less digits than its factorization.

110201201012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3800626 (or 3800619 counting only the distinct ones).

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

Adding to 110201201012100 its reverse (1210102102011), we get a palindrome (111411303114111).

The spelling of 110201201012100 in words is "one hundred ten trillion, two hundred one billion, two hundred one million, twelve thousand, one hundred".