100120201200100 has 72 divisors (see below), whose sum is σ = 219772066578120. Its totient is φ = 39585468088320.

The previous prime is 100120201200083. The next prime is 100120201200121. The reversal of 100120201200100 is 1002102021001.

It can be written as a sum of positive squares in 12 ways, for example, as 4152433213504 + 95967767986596 = 2037752^2 + 9796314^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26126272 + ... + 29712328.

It is an arithmetic number, because the mean of its divisors is an integer number (3052389813585).

Almost surely, 2^{100120201200100} is an apocalyptic number.

100120201200100 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 100120201200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109886033289060).

100120201200100 is an abundant number, since it is smaller than the sum of its proper divisors (119651865378020).

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

100120201200100 is a wasteful number, since it uses less digits than its factorization.

100120201200100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3589297 (or 3589290 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 100120201200100 its reverse (1002102021001), we get a palindrome (101122303221101).

The spelling of 100120201200100 in words is "one hundred trillion, one hundred twenty billion, two hundred one million, two hundred thousand, one hundred".