100113030220110 has 256 divisors, whose sum is σ = 256799821824000. Its totient is φ = 24905252736000.

The previous prime is 100113030220079. The next prime is 100113030220123. The reversal of 100113030220110 is 11022030311001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 100113030220110.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 33359888610 + ... + 33359891610.

It is an arithmetic number, because the mean of its divisors is an integer number (1003124304000).

Almost surely, 2^{100113030220110} is an apocalyptic number.

100113030220110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100113030220110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128399910912000).

100113030220110 is an abundant number, since it is smaller than the sum of its proper divisors (156686791603890).

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

100113030220110 is a wasteful number, since it uses less digits than its factorization.

100113030220110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4831.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 100113030220110 its reverse (11022030311001), we get a palindrome (111135060531111).

The spelling of 100113030220110 in words is "one hundred trillion, one hundred thirteen billion, thirty million, two hundred twenty thousand, one hundred ten".