2101103233200 has 90 divisors (see below), whose sum is σ = 7291411871484. Its totient is φ = 560294194560.

The previous prime is 2101103233147. The next prime is 2101103233277. The reversal of 2101103233200 is 23323011012.

2101103233200 is a `hidden beast` number, since 2 + 10 + 1 + 10 + 323 + 320 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (90).

It is a super-3 number, since 3×2101103233200³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 291816294 + ... + 291823493.

Almost surely, 2^{2101103233200} is an apocalyptic number.

2101103233200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2101103233200 is an abundant number, since it is smaller than the sum of its proper divisors (5190308638284).

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

2101103233200 is a wasteful number, since it uses less digits than its factorization.

2101103233200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583639811 (or 583639797 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 2101103233200 its reverse (23323011012), we get a palindrome (2124426244212).

The spelling of 2101103233200 in words is "two trillion, one hundred one billion, one hundred three million, two hundred thirty-three thousand, two hundred".