100010011200100 has 72 divisors (see below), whose sum is σ = 232156653913800. Its totient is φ = 37262674821120.

The previous prime is 100010011200089. The next prime is 100010011200101. The reversal of 100010011200100 is 1002110010001.

It can be written as a sum of positive squares in 12 ways, for example, as 8159523694144 + 91850487505956 = 2856488^2 + 9583866^2 .

It is not an unprimeable number, because it can be changed into a prime (100010011200101) 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, 303079525 + ... + 303409324.

It is an arithmetic number, because the mean of its divisors is an integer number (3224397971025).

Almost surely, 2^{100010011200100} is an apocalyptic number.

100010011200100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100010011200100 is an abundant number, since it is smaller than the sum of its proper divisors (132146642713700).

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

100010011200100 is a wasteful number, since it uses less digits than its factorization.

100010011200100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606488977 (or 606488970 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 100010011200100 its reverse (1002110010001), we get a palindrome (101012121210101).

The spelling of 100010011200100 in words is "one hundred trillion, ten billion, eleven million, two hundred thousand, one hundred".