100100101101200 has 60 divisors (see below), whose sum is σ = 240493617024948. Its totient is φ = 40039520294400.

The previous prime is 100100101101163. The next prime is 100100101101211. The reversal of 100100101101200 is 2101101001001.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 10296731157904 + 89803369943296 = 3208852^2 + 9476464^2 .

It is a super-2 number, since 2×100100101101200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29971190 + ... + 33143210.

Almost surely, 2^{100100101101200} is an apocalyptic number.

100100101101200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100100101101200 is an abundant number, since it is smaller than the sum of its proper divisors (140393515923748).

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

100100101101200 is a wasteful number, since it uses less digits than its factorization.

100100101101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3250932 (or 3250921 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 100100101101200 its reverse (2101101001001), we get a palindrome (102201202102201).

The spelling of 100100101101200 in words is "one hundred trillion, one hundred billion, one hundred one million, one hundred one thousand, two hundred".