100011101012200 has 72 divisors (see below), whose sum is σ = 270489207406950. Its totient is φ = 34289520343680.

The previous prime is 100011101012167. The next prime is 100011101012201. The reversal of 100011101012200 is 2210101110001.

It can be written as a sum of positive squares in 3 ways, for example, as 80778859142436 + 19232241869764 = 8987706^2 + 4385458^2 .

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

It is not an unprimeable number, because it can be changed into a prime (100011101012201) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5102597395 + ... + 5102616994.

Almost surely, 2^{100011101012200} is an apocalyptic number.

100011101012200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100011101012200 is an abundant number, since it is smaller than the sum of its proper divisors (170478106394750).

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

100011101012200 is a wasteful number, since it uses less digits than its factorization.

100011101012200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10205214419 (or 10205214403 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 100011101012200 its reverse (2210101110001), we get a palindrome (102221202122201).

The spelling of 100011101012200 in words is "one hundred trillion, eleven billion, one hundred one million, twelve thousand, two hundred".