2111000102100 has 108 divisors (see below), whose sum is σ = 6634553041116. Its totient is φ = 561424066560.

The previous prime is 2111000102069. The next prime is 2111000102143. The reversal of 2111000102100 is 12010001112.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 412325799876 + 1698674302224 = 642126^2 + 1303332^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2808477 + ... + 3479876.

It is an arithmetic number, because the mean of its divisors is an integer number (61431046677).

Almost surely, 2^{2111000102100} is an apocalyptic number.

2111000102100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2111000102100 is an abundant number, since it is smaller than the sum of its proper divisors (4523552939016).

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

2111000102100 is a wasteful number, since it uses less digits than its factorization.

2111000102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6288746 (or 6288736 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 2111000102100 its reverse (12010001112), we get a palindrome (2123010103212).

The spelling of 2111000102100 in words is "two trillion, one hundred eleven billion, one hundred two thousand, one hundred".