2110201120100 has 72 divisors (see below), whose sum is σ = 4597972747368. Its totient is φ = 840609792000.

The previous prime is 2110201120099. The next prime is 2110201120129. The reversal of 2110201120100 is 10211020112.

It can be written as a sum of positive squares in 12 ways, for example, as 8072303716 + 2102128816384 = 89846^2 + 1449872^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 213125150 + ... + 213135050.

Almost surely, 2^{2110201120100} is an apocalyptic number.

2110201120100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2110201120100 is an abundant number, since it is smaller than the sum of its proper divisors (2487771627268).

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

2110201120100 is a wasteful number, since it uses less digits than its factorization.

2110201120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18465 (or 18458 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 2110201120100 its reverse (10211020112), we get a palindrome (2120412140212).

The spelling of 2110201120100 in words is "two trillion, one hundred ten billion, two hundred one million, one hundred twenty thousand, one hundred".