2102012111100 has 144 divisors (see below), whose sum is σ = 6700405896576. Its totient is φ = 504533280000.

The previous prime is 2102012111077. The next prime is 2102012111119. The reversal of 2102012111100 is 11112102012.

It is a super-3 number, since 3×2102012111100³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2820034 + ... + 3486633.

It is an arithmetic number, because the mean of its divisors is an integer number (46530596504).

Almost surely, 2^{2102012111100} is an apocalyptic number.

2102012111100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2102012111100 is an abundant number, since it is smaller than the sum of its proper divisors (4598393785476).

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

2102012111100 is a wasteful number, since it uses less digits than its factorization.

2102012111100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6306796 (or 6306789 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 2102012111100 its reverse (11112102012), we get a palindrome (2113124213112).

The spelling of 2102012111100 in words is "two trillion, one hundred two billion, twelve million, one hundred eleven thousand, one hundred".