2111102020100 has 72 divisors (see below), whose sum is σ = 4606409311560. Its totient is φ = 839785246720.

The previous prime is 2111102020033. The next prime is 2111102020117. The reversal of 2111102020100 is 10202011112.

It can be written as a sum of positive squares in 12 ways, for example, as 1436105037376 + 674996982724 = 1198376^2 + 821582^2 .

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, 14912852 + ... + 15053748.

It is an arithmetic number, because the mean of its divisors is an integer number (63977907105).

Almost surely, 2^{2111102020100} is an apocalyptic number.

2111102020100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2111102020100 is an abundant number, since it is smaller than the sum of its proper divisors (2495307291460).

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

2111102020100 is a wasteful number, since it uses less digits than its factorization.

2111102020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141737 (or 141730 counting only the distinct ones).

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

Adding to 2111102020100 its reverse (10202011112), we get a palindrome (2121304031212).

The spelling of 2111102020100 in words is "two trillion, one hundred eleven billion, one hundred two million, twenty thousand, one hundred".