2111110110100 has 36 divisors (see below), whose sum is σ = 4582348883644. Its totient is φ = 844215482880.

The previous prime is 2111110110091. The next prime is 2111110110119. The reversal of 2111110110100 is 10110111112.

It can be written as a sum of positive squares in 6 ways, for example, as 1000388037636 + 1110722072464 = 1000194^2 + 1053908^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2485467 + ... + 3224866.

Almost surely, 2^{2111110110100} is an apocalyptic number.

2111110110100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2111110110100 is an abundant number, since it is smaller than the sum of its proper divisors (2471238773544).

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

2111110110100 is a wasteful number, since it uses less digits than its factorization.

2111110110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5714044 (or 5714037 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 2111110110100 its reverse (10110111112), we get a palindrome (2121220221212).

The spelling of 2111110110100 in words is "two trillion, one hundred eleven billion, one hundred ten million, one hundred ten thousand, one hundred".