20100110100200 has 48 divisors (see below), whose sum is σ = 50327583372780. Its totient is φ = 7421579112960.

The previous prime is 20100110100167. The next prime is 20100110100241. The reversal of 20100110100200 is 200101100102.

It can be written as a sum of positive squares in 6 ways, for example, as 8936906965156 + 11163203135044 = 2989466^2 + 3341138^2 .

It is a super-3 number, since 3×20100110100200³ (a number of 41 digits) contains 333 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, 3865403189 + ... + 3865408388.

Almost surely, 2^{20100110100200} is an apocalyptic number.

20100110100200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20100110100200 is an abundant number, since it is smaller than the sum of its proper divisors (30227473272580).

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

20100110100200 is a wasteful number, since it uses less digits than its factorization.

20100110100200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7730811606 (or 7730811597 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 20100110100200 its reverse (200101100102), we get a palindrome (20300211200302).

The spelling of 20100110100200 in words is "twenty trillion, one hundred billion, one hundred ten million, one hundred thousand, two hundred".