2102201102000 has 80 divisors (see below), whose sum is σ = 5220504131232. Its totient is φ = 818153913600.

The previous prime is 2102201101951. The next prime is 2102201102009. The reversal of 2102201102000 is 2011022012.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×2102201102000³ (a number of 38 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2102201102009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14130062 + ... + 14278061.

Almost surely, 2^{2102201102000} is an apocalyptic number.

2102201102000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2102201102000 is an abundant number, since it is smaller than the sum of its proper divisors (3118303029232).

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

2102201102000 is a wasteful number, since it uses less digits than its factorization.

2102201102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28408183 (or 28408167 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 2102201102000 its reverse (2011022012), we get a palindrome (2104212124012).

The spelling of 2102201102000 in words is "two trillion, one hundred two billion, two hundred one million, one hundred two thousand".