100111020212200 has 96 divisors (see below), whose sum is σ = 245038898872800. Its totient is φ = 37932108399360.

The previous prime is 100111020212167. The next prime is 100111020212209. The reversal of 100111020212200 is 2212020111001.

It is not an unprimeable number, because it can be changed into a prime (100111020212209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29125759 + ... + 32381041.

It is an arithmetic number, because the mean of its divisors is an integer number (2552488529925).

Almost surely, 2^{100111020212200} is an apocalyptic number.

100111020212200 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 100111020212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122519449436400).

100111020212200 is an abundant number, since it is smaller than the sum of its proper divisors (144927878660600).

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

100111020212200 is a wasteful number, since it uses less digits than its factorization.

100111020212200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3263411 (or 3263402 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 100111020212200 its reverse (2212020111001), we get a palindrome (102323040323201).

The spelling of 100111020212200 in words is "one hundred trillion, one hundred eleven billion, twenty million, two hundred twelve thousand, two hundred".