2111012011100 has 72 divisors (see below), whose sum is σ = 4596475285920. Its totient is φ = 841537566720.

The previous prime is 2111012011081. The next prime is 2111012011151. The reversal of 2111012011100 is 11102101112.

It is a super-2 number, since 2×2111012011100² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 38314772 + ... + 38369828.

Almost surely, 2^{2111012011100} is an apocalyptic number.

2111012011100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2111012011100 is an abundant number, since it is smaller than the sum of its proper divisors (2485463274820).

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

2111012011100 is a wasteful number, since it uses less digits than its factorization.

2111012011100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56367 (or 56360 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 2111012011100 its reverse (11102101112), we get a palindrome (2122114112212).

The spelling of 2111012011100 in words is "two trillion, one hundred eleven billion, twelve million, eleven thousand, one hundred".